vegetable oils are an important component of human diet because they provide nutritional properties , flavor , and consistency .
recently intensive research on the pressure changes of physical properties of vegetable oils has been done in several laboratories . during food manufacture ,
for example , olive and seed oils are subjected to a pressure of 700  mpa .
phase transformations are accompanied by drastic changes in the physicochemical and mechanical properties of oils . in the case of oils such as castor oil , rapeseed oil , soy oil etc .
, first order phase transitions have been observed [ 35 ] . since the common component of those materials is triacylglycerols of fatty acids ( mostly of oleic acid ) ,
some comparative studies on pure triacylglycerols ( laboratory synthetic ) such as triolein have been conducted [ 6 , 7 ] .
they have shown the occurrence of the same type of phase transition as that in natural oils .
further studies indicated a crystallization process during the phase transition and also observation of molecular crystal forms has been reported .
although the literature on oil crystallization under the influence of temperature at atmospheric pressure is very extensive , see , e.g. , , publications concerning the phase transition occurring in the oils under pressure are not yet numerous e.g. , [ 2 , 11 ] .
olive oil has been a subject of intensive research , also with regard to the effect of pressure because of its importance to the food industry .
several physical properties such as : thermal conductivity and density , ultrasonic attenuation coefficient , ultrasonic velocity , pvt characteristic up to 150  mpa , volumetric properties   and thermal diffusivity have been presented by various authors , but none of them have reported pressure - induced phase transition . some suggestions appeared in the work , but the results obtained were ambiguous . having earlier experience in sound velocity measurements under high pressure and using the method developed by the authors in [ 19 , 20 ] , we decided to investigate the olive oil by the ultrasonic method .
olive oil is one of the most popular edible oils and is produced in several countries . because of various brands of the product available on the market , for our experiments we selected olive oil produced in spain with a high content of oleic acid triacylglycerols .
olive oil sample was analyzed by means of the gas chromatography method using a hewlett - packard hp6890 device with a flame ionization detector and a high - polar column bpx 70 .
the composition of the esters of fatty acids in the sample obtained from gas chromatography , are presented in table  1 .
there are five major fatty acids : the dominant c18:1 cis - oleic acid , c16:0 palmitic acid , c18:2 cis  cis - linoleic acid , c18:0 stearic acid and c16:1 palmitoleic acid .
the positions of particular chains in the triacylglycerol molecules were determined for frequently occurring fatty acids .
those results are presented in table  2 , where the sn-1,3 means the external position , and sn-2 internal position in the triacylglycerol molecule.table  1composition of investigated olive oilfatty acidc14:0c16:0c16:1c17:0c17:1c18:0c18:1cc18:2 ct / tc% in olive < 0.111.021.010.10.13.476.8 < 0.1c18:2 ccc18:3 cccc20:0c20:1c20:2c22:0c24:0c24:15.90.70.40.3<0.10.1<0.1<0.1table  2position of fatty acids in olive oil moleculesfatty acidsn-2 tagsn-1,3 tagc 16:05.095.0c 16:18.691.4c 18:021.079.0c 18:186.113.9c 18:249.750.3c 18:358.541.5 composition of investigated olive oil position of fatty acids in olive oil molecules this information could be important when trying to compare the values obtained with results from other experiments .
high - pressure measurements were performed using a setup designed and constructed by our team , see fig .  1 .
all detectors were located along with the tested olive sample inside the 22-cm capacity pressure chamber .
the pressure inside the chamber was measured by a manganin sensor , calibrated using a dead weight piston gauge with a relative accuracy of 0.05  % .
the standard deviation of the measurement series of resistance computed for 50 values of resistance was smaller than 1  m .
change in manganin sensor resistance in the range of pressures used in our measurements was approximately 1400  m. volume changes were measured by observation of piston displacement within the chamber .
corrections related to the expansion of the chamber were evaluated from the lamee equations and considered during data analysis .
therefore , the main source of errors in determining the volume was the error in measurement of piston displacement which was measured using a digital caliper with an accuracy of 0.01  mm .
this gives a measurement error of the volume of the order of 0.1  % .
a constant temperature of 293  k was maintained by a thermostatic water bath.fig . 
1experimental setup for measuring longitudinal ultrasonic wave velocity in liquids at high pressure experimental setup for measuring longitudinal ultrasonic wave velocity in liquids at high pressure initial density and specific volume of the sample were determined by weighing on an electronic weighing machine (   1  mg ) the known volume of olive oil .
since the mass of the sample did not change during the experiment , the changes in volume could be used to determine changes in these parameters versus pressure .
the sound velocity was measured using the setup developed by the authors and presented in detail in   and .
the measurement was based on the evaluation of the time of flight between two piezoelectric transducers .
, usa ) were used as both the transmitter and the receiver ( frequency f  =  5  mhz ) .
the ultrasonic transducers mounting has been designed to provide a low level of parasitic ultrasonic signals .
the signal to the transmitter was supplied with a tb-1000 pulser - receiver computer card ( matec , usa ) . after passing through the sample of olive
the signal was detected by the receiver and was processed by the pda-1000 digitizer card ( signatec , usa ) . to increase the signal to noise ratio
the distance between the transducers and pulse transition time between them were used to calculate the speed of sound in the medium .
instead , it is possible to use methods based on digital signal processing such as the cross - correlation function . the cross - correlation function h(t ) , between two functions f(t ) and g(t ) ,
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				 \begin{document}$$ h\left ( t \right ) = \int\limits _ { - \infty } ^{\infty } { f\left ( \tau \right ) } \,g\left ( { t + \tau } \right)d\tau $ $ \end{document } the first signal received ( the function f(t ) ) corresponds to the ultrasound pulse that travels across the distance l between the transmitting and receiving transducers .
part of the ultrasonic energy of the first signal is reflected at the receiving transducer back to the transmitting transducer , which in turn reflects part of the incident energy back to the receiving transducer . as a result , the next impulse detected by the receiving transducer ( function g(t ) )
the correlation analysis yields a measure of the similarity between the two considered pulses f(t ) and g(t ) shifted in time .
because those two pulses have a similar shape but a different amplitude and delay , the cross - correlation function reaches a maximum for t equal to the evaluated time difference corresponding to the distance 2l .
the relative uncertainty for the ultrasonic velocity in liquid equals    0.3  % at a 95  % confidence level .
each pressure increase was followed by a time interval which allowed the olive oil to reach thermodynamic equilibrium . approaching a pressure of 450  mpa we noticed a tendency of the pressure to decrease at a fixed position of the piston .
therefore , at a pressure of 450  mpa the compression was stopped and the piston in the high - pressure chamber was locked into position to allow the phase transformation to occur undisturbed .
subsequently , pressure was still raised to 600  mpa , and later it was gradually reduced .
during the experiment , the measurements of the volume dependence on pressure and sound velocity dependence on pressure were performed simultaneously .
as one can see at a pressure of about 450  mpa , the above - mentioned dependence has a discontinuity characteristic for the first order phase transition .
for the pressure values below the phase transition , the data are in good agreement with those presented by guignon . above the phase transition ,
the observed dependence of volume on pressure is very similar to that observed in triolein and described in detail in .fig . 
2relative volume changes in olive oil versus pressure , t  =  293  k. arrows indicate the direction of pressure changes . 1 low - pressure phase , 2 phase transition , 3 high - pressure phase , 4 decompression relative volume changes in olive oil versus pressure , t  =  293  k. arrows indicate the direction of pressure changes
. 1 low - pressure phase , 2 phase transition , 3 high - pressure phase , 4 decompression the changes in sound velocity caused by the elevation of pressure are presented in fig . 
3 . at a pressure relevant to the phase transition , the discontinuous increase in the speed of sound was noticed , despite the drop in pressure .
the phase transition is defined as the transition of the first order if it is accompanied by an abrupt change in physical parameters , such as density .
the ultrasonic wave velocity depends among other things on the density , and therefore a change in density must produce a similar change in wave velocity .
observation of the measured wave velocity discontinuity as a method for detecting the phase transition has already been used in the work in .
such phase transitions at similar pressures were present in all previously studied triglycerides . at a pressure of 600  mpa ,
values of about 3000  m / s are typical for solid - like media , which confirms the crystallization of triglycerides observed in model triglycerides such as triolein and trilaurin , reported by ferstl et al . in .fig . 
3speed of sound in olive oil as a function of pressure , t  =  293  k , f  =  5  mhz .
arrows indicate the direction of pressure changes . 1 low - pressure phase , 2 phase transition , 3 high - pressure phase , 4 decompression speed of sound in olive oil as a function of pressure , t  =  293  k , f  =  5  mhz .
arrows indicate the direction of pressure changes . 1 low - pressure phase , 2 phase transition , 3 high - pressure phase , 4 decompression during the decompression , hysteresis of the sound velocity and volume changes were clearly visible .
the process was reversible and , under atmospheric pressure , all parameters returned to their initial value .
the pressure dependence of the relative sound attenuation in olive oil is presented in fig . 
as can be seen in fig .  4 , at a pressure of 450  mpa , attenuation shows discontinuity .
t  =  293  k , f  =  5  mhz .
arrows indicate the direction of pressure changes . 1 low - pressure phase , 2 phase transition pressure dependence of the relative sound attenuation in olive oil .
t  =  293  k , f  =  5  mhz .
arrows indicate the direction of pressure changes . 1 low - pressure phase , 2 phase transition on the basis of the above measurements the density , the specific volume , and adiabatic compressibility ( from the sound velocity ) were evaluated . dependence of adiabatic compressibility on pressure is presented in fig
.  5 . as one can notice the compressibility after the phase transition is much smaller and less dependent on pressure than below the phase transition.fig . 
5adiabatic compressibility of olive oil versus pressure , t  =  293  k. the direction of the pressure changes is similar to that in fig .  1
. 1 low - pressure phase , 3 high - pressure phase adiabatic compressibility of olive oil versus pressure , t  =  293  k. the direction of the pressure changes is similar to that in fig .  1 . 1 low - pressure phase , 3 high - pressure phase the kinetics of the phase transition is presented in fig .  6 .
the phase transition in triolein which is the main component of vegetable oils takes a short time ( about 40  min ) . therefore
the phase transition in other types of vegetable oils ( e.g. castor oil ) takes a much longer time ( e.g. , even a few days ) .
therefore , the discovery of phase transitions in these oils has only been made relatively recently .
6kinetics of phase transition in olive oil ( t  =  293  k ) kinetics of phase transition in olive oil ( t  =  293  k )
the following conclusions arise from the conducted investigations : dependencies of sound velocity , ultrasonic wave attenuation , volume , and adiabatic compressibility on pressure show discontinuities .
this proves the existence of a first order phase transition in olive oil ( liquid to solid - like phase transition).the biggest relative changes were observed for the dependence of ultrasonic wave attenuation on pressure .
rapid and large changes in attenuation at a fixed position of the piston testify to the phase transition occurring in olive oil.values of the pressure during the phase transition are very similar to that of triolein since in both cases , triacylglycerols of oleic acid are the main constituents of triolein and olive oil.the induction time of the phase transition in olive oil is greater than that in the case of triolein because of the different chemical composition of these oils.the phase transition in the examined olive oil at 20  c occurred at a pressure of 450  mpa . in our present and previous [ 6 , 19 , 29 ] investigations , it was shown that in triacylglycerol at 20  c , the phase transition occurred in the same pressure range , in diacylglycerol - at about 210  mpa .
the transformation time for olive oil was about 6  h , for triacylglycerols , it was about 40  min . , and for diacylglycerol it was approximately 20  min .
dependencies of sound velocity , ultrasonic wave attenuation , volume , and adiabatic compressibility on pressure show discontinuities .
this proves the existence of a first order phase transition in olive oil ( liquid to solid - like phase transition ) .
the biggest relative changes were observed for the dependence of ultrasonic wave attenuation on pressure .
rapid and large changes in attenuation at a fixed position of the piston testify to the phase transition occurring in olive oil .
values of the pressure during the phase transition are very similar to that of triolein since in both cases , triacylglycerols of oleic acid are the main constituents of triolein and olive oil .
the induction time of the phase transition in olive oil is greater than that in the case of triolein because of the different chemical composition of these oils .
the phase transition in the examined olive oil at 20  c occurred at a pressure of 450  mpa . in our present and previous [ 6 , 19 , 29 ] investigations , it was shown that in triacylglycerol at 20  c , the phase transition occurred in the same pressure range , in diacylglycerol - at about 210  mpa .
the transformation time for olive oil was about 6  h , for triacylglycerols , it was about 40  min . , and for diacylglycerol it was approximately 20  min .
the investigation of phase transitions is very important in high - pressure food processing and conservation .
phase transformations can modify the molecular structure significantly and consequently , affect the texture and sensory characteristics of food products .
therefore measuring the speed of sound in the liquid at high pressure enables one to control the quality of food products subjected to high - pressure technological processes , and to understand the nature of the physicochemical behavior of oils .
the only article on high - pressure phase transitions in olive oil known to the authors was an article .
however , in the article , the composition of the investigated oil is not given .
in contrast to , the authors of the present paper did not observe the presence of the phase transition at a pressure value of 124  mpa . in our experiments ,
the phase transition in olive oil ( for a temperature of 20  c ) started at higher pressure values , i.e. , at about 450  mpa .
although the authors of the work   investigated pressures as high as 1,167  mpa , they only included points up to 356  mpa in their analysis . in this range of pressure ,
also in the work , the phase transition was not observed in the olive oil in a pressure range from atmospheric pressure up to 150  mpa . in this work
the relationship of viscosity with pressure for olive oil up to 150  mpa was studied .
the authors of   could not measure the viscosity at higher pressures due to inherent limitations of the applied measuring method .
the discrepancy with the results of   may be due to a different composition of the oil used in the study by the authors of   and the authors of the present work .
olive oils may differ in composition ( content of fatty acids , triacylglycerols , etc . ) , and thus in their properties .
this will allow the comparison of our results with those obtained for oils of similar composition .
 this paper presents measurements of sound velocity and attenuation in olive oil , with known chemical composition , as a function of pressure , within the range of pressure up to 0.7  gpa . 
 dependencies of sound velocity , relative ultrasonic wave attenuation , volume , and adiabatic compressibility on pressure show discontinuities . 
 this proves the existence of the first order phase transition in olive oil ( liquid to solid - like phase transition ) . 
 rapid and large changes in relative attenuation testify to the existence of a phase transition in olive oil . moreover , the kinetics of phase transition was also investigated . 
 measurement of acoustic wave velocity and relative attenuation in olive oil during the phase transition and in the high - pressure phase is a novelty . 
 the results obtained can be useful in the development of new methods in food ( edible oils ) control , processing , and preservation . 
Introduction
Experimental Procedures
Results and Discussion
Conclusions