Decalin-two fused cyclohexane rings -

Decalin consists of two cyclohexane rings joined to share two carbon atoms (the bridgehead carbons, C1 and C6) and a common bond. Decalin can exist in either of two isomeric forms, depending on whether the rings are trans fused or cis fused. In cis-decalin, the hydrogen atoms at the bridgehead carbons are on the same side of the rings; in trans-decalin, the bridgehead hydrogens are on opposite sides. FIGURE 4.18 shows how both compounds can be represented using chair cyclohexane conformations. Note that the two decalin isomers are not interconvertible by ring-flips or other rotations. They are cis-trans stereoisomers and have the same relationship to each other that cis- and trans-1,2-dimethylcyclohexane have.
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0118.jpg?height=259&width=551&top_left_y=239&top_left_x=494)
cis-Decalin
<img class="imgSvg" id = "m6sn3mn3zkz92hrkqf" src="data:image/svg+xml;base64,<svg id="smiles-m6sn3mn3zkz92hrkqf" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 244 142.7362639665253" style="width: 244.0897768013199px; height: 142.7362639665253px; overflow: visible;"><defs><linearGradient id="line-m6sn3mn3zkz92hrkqf-1" gradientUnits="userSpaceOnUse" x1="170.8592636680449" y1="56.43260013993919" x2="202.0897768013199" y2="52.32102508500754"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-3" gradientUnits="userSpaceOnUse" x1="155.10926366804486" y1="29.15279992072937" x2="170.8592636680449" y2="56.43260013993919"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-5" gradientUnits="userSpaceOnUse" x1="162.7064637473155" y1="86.85926366804485" x2="170.8592636680449" y2="56.43260013993919"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-7" gradientUnits="userSpaceOnUse" x1="124.6826001399392" y1="21.000000000000007" x2="155.10926366804486" y2="29.15279992072937"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-9" gradientUnits="userSpaceOnUse" x1="135.4266635281057" y1="102.60926366804487" x2="162.7064637473155" y2="86.85926366804485"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-11" gradientUnits="userSpaceOnUse" x1="97.4027999207294" y1="36.75000000000002" x2="124.6826001399392" y2="21.000000000000007"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-13" gradientUnits="userSpaceOnUse" x1="105" y1="94.45646374731548" x2="135.4266635281057" y2="102.60926366804487"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-15" gradientUnits="userSpaceOnUse" x1="89.25" y1="67.17666352810568" x2="97.4027999207294" y2="36.75000000000002"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-17" gradientUnits="userSpaceOnUse" x1="89.25000000000001" y1="121.73626396652531" x2="105" y2="94.45646374731548"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-19" gradientUnits="userSpaceOnUse" x1="105" y1="94.45646374731548" x2="120.75000000000001" y2="121.73626396652529"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-21" gradientUnits="userSpaceOnUse" x1="89.25" y1="67.17666352810568" x2="105" y2="94.45646374731548"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-23" gradientUnits="userSpaceOnUse" x1="73.49999999999999" y1="39.89686330889587" x2="89.25" y2="67.17666352810568"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-25" gradientUnits="userSpaceOnUse" x1="57.75" y1="67.17666352810568" x2="89.25" y2="67.17666352810568"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-27" gradientUnits="userSpaceOnUse" x1="57.750000000000014" y1="121.73626396652533" x2="89.25000000000001" y2="121.73626396652531"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-29" gradientUnits="userSpaceOnUse" x1="42" y1="94.45646374731552" x2="57.75" y2="67.17666352810568"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn3zkz92hrkqf-31" gradientUnits="userSpaceOnUse" x1="42" y1="94.45646374731552" x2="57.750000000000014" y2="121.73626396652533"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient></defs><mask id="text-mask-m6sn3mn3zkz92hrkqf"><rect x="0" y="0" width="100%" height="100%" fill="white"></rect><circle cx="73.49999999999999" cy="39.89686330889587" r="7.875" fill="black"></circle><circle cx="120.75000000000001" cy="121.73626396652529" r="7.875" fill="black"></circle></mask><style>
                .element-m6sn3mn3zkz92hrkqf {
                    font: 14px Helvetica, Arial, sans-serif;
                    alignment-baseline: 'middle';
                }
                .sub-m6sn3mn3zkz92hrkqf {
                    font: 8.4px Helvetica, Arial, sans-serif;
                }
            </style><g mask="url(#text-mask-m6sn3mn3zkz92hrkqf)"><line x1="170.8592636680449" y1="56.43260013993919" x2="202.0897768013199" y2="52.32102508500754" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-1')"></line><line x1="155.10926366804486" y1="29.15279992072937" x2="170.8592636680449" y2="56.43260013993919" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-3')"></line><line x1="162.7064637473155" y1="86.85926366804485" x2="170.8592636680449" y2="56.43260013993919" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-5')"></line><line x1="124.6826001399392" y1="21.000000000000007" x2="155.10926366804486" y2="29.15279992072937" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-7')"></line><line x1="135.4266635281057" y1="102.60926366804487" x2="162.7064637473155" y2="86.85926366804485" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-9')"></line><line x1="97.4027999207294" y1="36.75000000000002" x2="124.6826001399392" y2="21.000000000000007" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-11')"></line><line x1="105" y1="94.45646374731548" x2="135.4266635281057" y2="102.60926366804487" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-13')"></line><line x1="89.25" y1="67.17666352810568" x2="97.4027999207294" y2="36.75000000000002" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-15')"></line><line x1="89.25000000000001" y1="121.73626396652531" x2="105" y2="94.45646374731548" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-17')"></line><polygon points="104.4544039956158,94.77146374731548 118.90536588993916,122.80126396652528 122.59463411006087,120.67126396652529 105.5455960043842,94.14146374731548" fill="url('#line-m6sn3mn3zkz92hrkqf-19')"></polygon><line x1="89.25" y1="67.17666352810568" x2="105" y2="94.45646374731548" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-21')"></line><line x1="89.25" y1="67.17666352810568" x2="89.25" y2="67.17666352810568" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="86.6926442841485" y1="63.197193495224205" x2="87.08235571585149" y2="62.972193495224204" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="84.135288568297" y1="59.21772346234273" x2="84.914711431703" y2="58.76772346234273" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="81.5779328524455" y1="55.23825342946126" x2="82.74706714755449" y2="54.563253429461255" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="79.020577136594" y1="51.25878339657979" x2="80.579422863406" y2="50.35878339657979" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="76.4632214207425" y1="47.27931336369832" x2="78.41177857925749" y2="46.15431336369832" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="73.90586570489099" y1="43.29984333081684" x2="76.24413429510898" y2="41.94984333081685" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-23')"></line><line x1="57.75" y1="67.17666352810568" x2="89.25" y2="67.17666352810568" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-25')"></line><line x1="57.750000000000014" y1="121.73626396652533" x2="89.25000000000001" y2="121.73626396652531" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-27')"></line><line x1="42" y1="94.45646374731552" x2="57.75" y2="67.17666352810568" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-29')"></line><line x1="42" y1="94.45646374731552" x2="57.750000000000014" y2="121.73626396652533" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn3zkz92hrkqf-31')"></line></g><g><text x="202.0897768013199" y="52.32102508500754" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="170.8592636680449" y="56.43260013993919" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="155.10926366804486" y="29.15279992072937" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="124.6826001399392" y="21.000000000000007" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="97.4027999207294" y="36.75000000000002" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="89.25" y="67.17666352810568" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">S</text><text x="68.24999999999999" y="45.14686330889587" class="element-m6sn3mn3zkz92hrkqf" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="73.49999999999999" y="39.89686330889587" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="57.75" y="67.17666352810568" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="42" y="94.45646374731552" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="57.750000000000014" y="121.73626396652533" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="89.25000000000001" y="121.73626396652531" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="105" y="94.45646374731548" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">S</text><text x="115.50000000000001" y="126.98626396652529" class="element-m6sn3mn3zkz92hrkqf" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="120.75000000000001" y="121.73626396652529" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="135.4266635281057" y="102.60926366804487" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="162.7064637473155" y="86.85926366804485" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text></g></svg>"/>
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0118.jpg?height=266&width=497&top_left_y=688&top_left_x=1123)
trans-Decalin


Decalin-two fused cyclohexane rings -

FIGURE 4.18 Representations of cis- and trans-decalin. Hydrogen atoms at the bridgehead carbons are on the same face of the rings in the cis isomer but on opposite faces in the trans isomer.


Decalin-two fused cyclohexane rings -

Polycyclic compounds are common in nature, and many valuable substances have fused-ring structures. For example, steroids, such as testosterone, the primary sex hormone in males, have three six-membered rings and one five-membered ring fused together. Although steroids look complicated compared with cyclohexane or decalin, the same principles that apply to the conformational analysis of simple cyclohexane rings apply equally well (and often better) to steroids.
<img class="imgSvg" id = "m6sn3mn5e4z2p7ot0w" src="data:image/svg+xml;base64,<svg id="smiles-m6sn3mn5e4z2p7ot0w" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 328 150.77043933791123" style="width: 328.45826736550214px; height: 150.77043933791123px; overflow: visible;"><defs><linearGradient id="line-m6sn3mn5e4z2p7ot0w-1" gradientUnits="userSpaceOnUse" x1="182.22321783850288" y1="122.46926747216465" x2="194.02330586927698" y2="93.26296810942472"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-3" gradientUnits="userSpaceOnUse" x1="194.02330586927698" y1="93.26296810942472" x2="203.75736136015283" y2="123.221241819713"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-5" gradientUnits="userSpaceOnUse" x1="194.02330586927698" y1="93.26296810942472" x2="215.10090421047622" y2="69.85389191733469"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-7" gradientUnits="userSpaceOnUse" x1="163.2116520372019" y1="86.71377059122645" x2="194.02330586927698" y2="93.26296810942472"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-9" gradientUnits="userSpaceOnUse" x1="203.75736136015283" y1="123.221241819713" x2="234.5690151922279" y2="129.77043933791123"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-11" gradientUnits="userSpaceOnUse" x1="217.00321404040804" y1="76.05490935892803" x2="241.65253710606808" y2="81.29426737348662"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-13" gradientUnits="userSpaceOnUse" x1="215.10090421047622" y1="69.85389191733469" x2="245.91255804255127" y2="76.40308943553293"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-15" gradientUnits="userSpaceOnUse" x1="205.36684871960037" y1="39.89561820704641" x2="215.10090421047622" y2="69.85389191733469"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-17" gradientUnits="userSpaceOnUse" x1="142.13405369600267" y1="110.12284678331648" x2="163.2116520372019" y2="86.71377059122645"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-19" gradientUnits="userSpaceOnUse" x1="162.11233908411606" y1="118.19458238239818" x2="163.2116520372019" y2="86.71377059122645"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-21" gradientUnits="userSpaceOnUse" x1="153.47759654632605" y1="56.755496880938175" x2="163.2116520372019" y2="86.71377059122645"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-23" gradientUnits="userSpaceOnUse" x1="234.5690151922279" y1="129.77043933791123" x2="255.64661353342711" y2="106.36136314582122"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-25" gradientUnits="userSpaceOnUse" x1="245.91255804255127" y1="76.40308943553293" x2="255.64661353342711" y2="106.36136314582122"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-27" gradientUnits="userSpaceOnUse" x1="174.5551948875253" y1="33.346420688848156" x2="205.36684871960037" y2="39.89561820704641"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-29" gradientUnits="userSpaceOnUse" x1="111.32239986392761" y1="103.57364926511822" x2="142.13405369600267" y2="110.12284678331648"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-31" gradientUnits="userSpaceOnUse" x1="153.47759654632605" y1="56.755496880938175" x2="174.5551948875253" y2="33.346420688848156"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-33" gradientUnits="userSpaceOnUse" x1="153.47759654632605" y1="56.755496880938175" x2="154.5769094994119" y2="25.274685089766436"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-35" gradientUnits="userSpaceOnUse" x1="122.665942714251" y1="50.206299362739905" x2="153.47759654632605" y2="56.755496880938175"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-37" gradientUnits="userSpaceOnUse" x1="255.05718575678927" y1="109.13441199070797" x2="285.8688395888644" y2="115.68360950890623"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-39" gradientUnits="userSpaceOnUse" x1="256.23604131006493" y1="103.58831430093446" x2="287.04769514214" y2="110.13751181913273"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-41" gradientUnits="userSpaceOnUse" x1="101.58834437305177" y1="73.61537555482991" x2="111.32239986392761" y2="103.57364926511822"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-43" gradientUnits="userSpaceOnUse" x1="122.665942714251" y1="50.206299362739905" x2="134.4660307450251" y2="21"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-45" gradientUnits="userSpaceOnUse" x1="101.58834437305177" y1="73.61537555482991" x2="122.665942714251" y2="50.206299362739905"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-47" gradientUnits="userSpaceOnUse" x1="106.91592434935382" y1="22.926509746516658" x2="122.665942714251" y2="50.206299362739905"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-49" gradientUnits="userSpaceOnUse" x1="72.81165383207505" y1="60.80319067055424" x2="101.58834437305177" y2="73.61537555482991"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-51" gradientUnits="userSpaceOnUse" x1="80.51074603185253" y1="97.02445174691991" x2="101.58834437305177" y2="73.61537555482991"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-53" gradientUnits="userSpaceOnUse" x1="76.10427933521309" y1="29.475748749834246" x2="106.91592434935382" y2="22.926509746516658"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-55" gradientUnits="userSpaceOnUse" x1="72.81165383207505" y1="60.80319067055424" x2="76.10427933521309" y2="29.475748749834246"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-57" gradientUnits="userSpaceOnUse" x1="63.07763867733357" y1="90.76147748684704" x2="72.81165383207505" y2="60.80319067055424"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient><linearGradient id="line-m6sn3mn5e4z2p7ot0w-59" gradientUnits="userSpaceOnUse" x1="42" y1="54.25399315235593" x2="72.81165383207505" y2="60.80319067055424"><stop stop-color="currentColor" offset="20%"></stop><stop stop-color="currentColor" offset="100%"></stop></linearGradient></defs><mask id="text-mask-m6sn3mn5e4z2p7ot0w"><rect x="0" y="0" width="100%" height="100%" fill="white"></rect><circle cx="286.45826736550214" cy="112.91056066401947" r="7.875" fill="black"></circle><circle cx="154.5769094994119" cy="25.274685089766436" r="7.875" fill="black"></circle><circle cx="134.4660307450251" cy="21" r="7.875" fill="black"></circle><circle cx="63.07763867733357" cy="90.76147748684704" r="7.875" fill="black"></circle><circle cx="42" cy="54.25399315235593" r="7.875" fill="black"></circle><circle cx="162.11233908411606" cy="118.19458238239818" r="7.875" fill="black"></circle></mask><style>
                .element-m6sn3mn5e4z2p7ot0w {
                    font: 14px Helvetica, Arial, sans-serif;
                    alignment-baseline: 'middle';
                }
                .sub-m6sn3mn5e4z2p7ot0w {
                    font: 8.4px Helvetica, Arial, sans-serif;
                }
            </style><g mask="url(#text-mask-m6sn3mn5e4z2p7ot0w)"><line x1="182.22321783850288" y1="122.46926747216465" x2="194.02330586927698" y2="93.26296810942472" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-1')"></line><line x1="194.02330586927698" y1="93.26296810942472" x2="203.75736136015283" y2="123.221241819713" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-3')"></line><line x1="194.02330586927698" y1="93.26296810942472" x2="215.10090421047622" y2="69.85389191733469" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-5')"></line><line x1="163.2116520372019" y1="86.71377059122645" x2="194.02330586927698" y2="93.26296810942472" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-7')"></line><line x1="203.75736136015283" y1="123.221241819713" x2="234.5690151922279" y2="129.77043933791123" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-9')"></line><line x1="217.00321404040804" y1="76.05490935892803" x2="241.65253710606808" y2="81.29426737348662" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-11')"></line><line x1="215.10090421047622" y1="69.85389191733469" x2="245.91255804255127" y2="76.40308943553293" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-13')"></line><line x1="205.36684871960037" y1="39.89561820704641" x2="215.10090421047622" y2="69.85389191733469" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-15')"></line><line x1="142.13405369600267" y1="110.12284678331648" x2="163.2116520372019" y2="86.71377059122645" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-17')"></line><line x1="163.2116520372019" y1="86.71377059122645" x2="163.2116520372019" y2="86.71377059122645" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="162.82189215287352" y1="91.42804012452304" x2="163.27161803560455" y2="91.4437445952814" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="162.4321322685451" y1="96.14230965781961" x2="163.33158403400716" y2="96.17371859933635" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="162.04237238421675" y1="100.85657919111618" x2="163.3915500324098" y2="100.90369260339129" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="161.65261249988833" y1="105.57084872441277" x2="163.45151603081243" y2="105.63366660744624" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="161.26285261555995" y1="110.28511825770934" x2="163.51148202921507" y2="110.36364061150118" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="160.87309273123157" y1="114.99938779100592" x2="163.57144802761772" y2="115.09361461555613" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-19')"></line><line x1="153.47759654632605" y1="56.755496880938175" x2="163.2116520372019" y2="86.71377059122645" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-21')"></line><line x1="234.5690151922279" y1="129.77043933791123" x2="255.64661353342711" y2="106.36136314582122" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-23')"></line><line x1="245.91255804255127" y1="76.40308943553293" x2="255.64661353342711" y2="106.36136314582122" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-25')"></line><line x1="174.5551948875253" y1="33.346420688848156" x2="205.36684871960037" y2="39.89561820704641" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-27')"></line><line x1="111.32239986392761" y1="103.57364926511822" x2="142.13405369600267" y2="110.12284678331648" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-29')"></line><line x1="153.47759654632605" y1="56.755496880938175" x2="174.5551948875253" y2="33.346420688848156" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-31')"></line><polygon points="154.1072127821495,56.777483139999894 156.70561201100543,25.349019584689383 152.44820698781837,25.20035059484349 152.8479803105026,56.733510621876455" fill="url('#line-m6sn3mn5e4z2p7ot0w-33')"></polygon><line x1="122.665942714251" y1="50.206299362739905" x2="153.47759654632605" y2="56.755496880938175" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-35')"></line><line x1="255.05718575678927" y1="109.13441199070797" x2="285.8688395888644" y2="115.68360950890623" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-37')"></line><line x1="256.23604131006493" y1="103.58831430093446" x2="287.04769514214" y2="110.13751181913273" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-39')"></line><line x1="101.58834437305177" y1="73.61537555482991" x2="111.32239986392761" y2="103.57364926511822" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-41')"></line><polygon points="123.2500687015058,50.442301123355385 136.4409328924104,21.797910714461867 132.49112859763983,20.202089285538133 122.08181672699621,49.970297602124425" fill="url('#line-m6sn3mn5e4z2p7ot0w-43')"></polygon><line x1="101.58834437305177" y1="73.61537555482991" x2="122.665942714251" y2="50.206299362739905" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-45')"></line><line x1="106.91592434935382" y1="22.926509746516658" x2="122.665942714251" y2="50.206299362739905" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-47')"></line><line x1="72.81165383207505" y1="60.80319067055424" x2="101.58834437305177" y2="73.61537555482991" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-49')"></line><line x1="101.58834437305177" y1="73.61537555482991" x2="101.58834437305177" y2="73.61537555482991" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="98.25949693478552" y1="76.9761827097777" x2="98.59391230895824" y2="77.27729125750912" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="94.93064949651928" y1="80.3369898647255" x2="95.59948024486471" y2="80.93920696018833" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="91.60180205825304" y1="83.69779701967329" x2="92.60504818077119" y2="84.60112266286754" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="88.27295461998679" y1="87.05860417462108" x2="89.61061611667765" y2="88.26303836554675" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="84.94410718172055" y1="90.41941132956887" x2="86.61618405258413" y2="91.92495406822596" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="81.6152597434543" y1="93.78021848451667" x2="83.62175198849059" y2="95.58686977090517" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-51')"></line><line x1="76.10427933521309" y1="29.475748749834246" x2="106.91592434935382" y2="22.926509746516658" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-53')"></line><line x1="72.81165383207505" y1="60.80319067055424" x2="76.10427933521309" y2="29.475748749834246" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-55')"></line><line x1="63.07763867733357" y1="90.76147748684704" x2="72.81165383207505" y2="60.80319067055424" style="stroke-linecap:round;stroke-dasharray:none;stroke-width:1.26" stroke="url('#line-m6sn3mn5e4z2p7ot0w-57')"></line><polygon points="72.68066988171108,61.41942374719574 41.5571495011504,56.337447840048625 42.4428504988496,52.17053846466324 72.94263778243902,60.18695759391274" fill="url('#line-m6sn3mn5e4z2p7ot0w-59')"></polygon></g><g><text x="182.22321783850288" y="122.46926747216465" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="194.02330586927698" y="93.26296810942472" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="203.75736136015283" y="123.221241819713" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="234.5690151922279" y="129.77043933791123" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="255.64661353342711" y="106.36136314582122" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="282.52076736550214" y="118.16056066401947" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>O</tspan></text><text x="286.45826736550214" y="112.91056066401947" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="245.91255804255127" y="76.40308943553293" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="215.10090421047622" y="69.85389191733469" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="205.36684871960037" y="39.89561820704641" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="174.5551948875253" y="33.346420688848156" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="153.47759654632605" y="56.755496880938175" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">R</text><text x="149.3269094994119" y="30.524685089766436" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="154.5769094994119" y="25.274685089766436" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="122.665942714251" y="50.206299362739905" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">R</text><text x="129.2160307450251" y="26.25" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="134.4660307450251" y="21" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="106.91592434935382" y="22.926509746516658" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="76.10427933521309" y="29.475748749834246" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="72.81165383207505" y="60.80319067055424" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">S</text><text x="57.82763867733357" y="96.01147748684704" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="63.07763867733357" y="90.76147748684704" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="47.25" y="59.50399315235593" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: rtl; unicode-bidi: bidi-override;
            "><tspan>O</tspan><tspan style="unicode-bidi: plaintext;">H</tspan></text><text x="42" y="54.25399315235593" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="101.58834437305177" y="73.61537555482991" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">R</text><text x="80.51074603185253" y="97.02445174691991" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="111.32239986392761" y="103.57364926511822" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="142.13405369600267" y="110.12284678331648" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text><text x="163.2116520372019" y="86.71377059122645" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            ">S</text><text x="156.86233908411606" y="123.44458238239818" class="element-m6sn3mn5e4z2p7ot0w" fill="currentColor" style="
                text-anchor: start;
                writing-mode: horizontal-tb;
                text-orientation: mixed;
                letter-spacing: normal;
                direction: ltr;
            "><tspan>H</tspan></text><text x="162.11233908411606" y="118.19458238239818" class="debug" fill="#ff0000" style="
                font: 5px Droid Sans, sans-serif;
            "></text></g></svg>"/>
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0118.jpg?height=217&width=513&top_left_y=1469&top_left_x=681)
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0118.jpg?height=397&width=608&top_left_y=1338&top_left_x=1260)


Testosterone (a steroid) -

Another common ring system is the norbornane, or bicyclo[2.2.1]heptane, structure. Like decalin, norbornane is a bicycloalkane, so called because two rings would have to be broken open to generate an acyclic structure. Its systematic name, bicyclo[2.2.1]heptane, reflects the fact that the molecule has seven carbons, is bicyclic, and has three "bridges" of 2, 2, and 1 carbon atoms connecting the two bridgehead carbons.
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0118.jpg?height=248&width=537&top_left_y=2055&top_left_x=523)


Testosterone (a steroid) -

Norbornane (bicyclo[2.2.1]heptane)
Norbornane has a conformationally locked boat cyclohexane ring (Section 4.5) in which carbons 1 and 4 are joined by an additional $\mathrm{CH}_{2}$ group. In drawing this structure, a break in the rear bond indicates that the vertical bond crosses in front of it. Making a molecular model is particularly helpful when trying to see the three-
dimensionality of norbornane.
Substituted norbornanes, such as camphor, are found widely in nature, and many have been important historically in developing organic structural theories.
![](https://cdn.mathpix.com/cropped/2025_02_06_5556f7656cbdcaa0f9a7g-0119.jpg?height=377&width=766&top_left_y=378&top_left_x=672)


Testosterone (a steroid) -

PROBLEM Which isomer is more stable, cis-decalin or trans-decalin (Figure 4.18)? Explain. 4-20