original_docstring: Estimate radius of curvature from volume.
  
      Parameters
      ----------
      beta: scalar (dimensionless)
          Dimensionless parameter, which describes the capillary length of the
          droplet. `beta` = drho * g * r^2 / sigma, where drho is the difference of
          densities of the liquid and vapour phases, g is gravitational constant,
          r is the radius of curvature at the top of the droplet, and sigma is the
          surface tension of the liquid. (Note. sigma is more specifically the
          surface tension on a planar surface.)
      volume: scalar (in meters^3)
          Volume of the droplet.
      alpha: scalar (dimensionless), optional, default = 0.0
          Dimensionless parameter, which relates the thickness of the interface
          "gamma" to the specific size, which is typically the radius of curvature
          at the top of the droplet. `alpha` = gamma / r. (Note: "gamma" here is not
          the surface tension). Note setting `alpha` = 0, will effectively ignore
          curvature dependence of surface tension.
  
      Returns
      -------
      R0: float
          Radius of curvature at the apex estimated from the volume.
  
      Notes
      -----
      See, estimate_volume() for description of the formula.
      
docstring: Estimate radius of curvature from volume.
  Parameters
  
  scalar (dimensionless)
  Dimensionless parameter, which describes the capillary length of the
  droplet. `beta` = drho * g * r^2 / sigma, where drho is the difference of
  densities of the liquid and vapour phases, g is gravitational constant,
  r is the radius of curvature at the top of the droplet, and sigma is the
  surface tension of the liquid. (Note. sigma is more specifically the
  surface tension on a planar surface.)
  volume: scalar (in meters^3)
  Volume of the droplet.
  alpha: scalar (dimensionless), optional, default = 0.0
  Dimensionless parameter, which relates the thickness of the interface
  "gamma" to the specific size, which is typically the radius of curvature
  at the top of the droplet. `alpha` = gamma / r. (Note: "gamma" here is not
  the surface tension). Note setting `alpha` = 0, will effectively ignore
  curvature dependence of surface tension.
  
  Returns
  
  float
  Radius of curvature at the apex estimated from the volume.
  
  Notes
  
  See, estimate_volume() for description of the formula.
docstring_tokens: Estimate radius of curvature from volume . Parameters scalar ( dimensionless ) Dimensionless parameter which describes the capillary length of the droplet . ` beta ` = drho * g * r^2 / sigma where drho is the difference of densities of the liquid and vapour phases g is gravitational constant r is the radius of curvature at the top of the droplet and sigma is the surface tension of the liquid . ( Note . sigma is more specifically the surface tension on a planar surface . ) volume : scalar ( in meters^3 ) Volume of the droplet . alpha : scalar ( dimensionless ) optional default = 0 . 0 Dimensionless parameter which relates the thickness of the interface " gamma " to the specific size which is typically the radius of curvature at the top of the droplet . ` alpha ` = gamma / r . ( Note : " gamma " here is not the surface tension ) . Note setting ` alpha ` = 0 will effectively ignore curvature dependence of surface tension . Returns float Radius of curvature at the apex estimated from the volume . Notes See estimate_volume () for description of the formula .
code: def estimate_radius_of_curvature(beta, volume, *, alpha):
      """Estimate radius of curvature from volume.
  
      Parameters
      ----------
      beta: scalar (dimensionless)
          Dimensionless parameter, which describes the capillary length of the
          droplet. `beta` = drho * g * r^2 / sigma, where drho is the difference of
          densities of the liquid and vapour phases, g is gravitational constant,
          r is the radius of curvature at the top of the droplet, and sigma is the
          surface tension of the liquid. (Note. sigma is more specifically the
          surface tension on a planar surface.)
      volume: scalar (in meters^3)
          Volume of the droplet.
      alpha: scalar (dimensionless), optional, default = 0.0
          Dimensionless parameter, which relates the thickness of the interface
          "gamma" to the specific size, which is typically the radius of curvature
          at the top of the droplet. `alpha` = gamma / r. (Note: "gamma" here is not
          the surface tension). Note setting `alpha` = 0, will effectively ignore
          curvature dependence of surface tension.
  
      Returns
      -------
      R0: float
          Radius of curvature at the apex estimated from the volume.
  
      Notes
      -----
      See, estimate_volume() for description of the formula.
      """
      return cbrt(volume * (power(beta, 0.941) + 1.028) / (4.73*exp(-2.513*power(beta, 0.398)*alpha)))
code_tokens: def estimate_radius_of_curvature ( beta , volume , * , alpha ) : return cbrt ( volume * ( power ( beta , 0.941 ) + 1.028 ) / ( 4.73 * exp ( - 2.513 * power ( beta , 0.398 ) * alpha ) ) )
short_docstring: Estimate radius of curvature from volume.
short_docstring_tokens: Estimate radius of curvature from volume .
comment: """Estimate radius of curvature from volume.
  
      Parameters
      ----------
      beta: scalar (dimensionless)
          Dimensionless parameter, which describes the capillary length of the
          droplet. `beta` = drho * g * r^2 / sigma, where drho is the difference of
          densities of the liquid and vapour phases, g is gravitational constant,
          r is the radius of curvature at the top of the droplet, and sigma is the
          surface tension of the liquid. (Note. sigma is more specifically the
          surface tension on a planar surface.)
      volume: scalar (in meters^3)
          Volume of the droplet.
      alpha: scalar (dimensionless), optional, default = 0.0
          Dimensionless parameter, which relates the thickness of the interface
          "gamma" to the specific size, which is typically the radius of curvature
          at the top of the droplet. `alpha` = gamma / r. (Note: "gamma" here is not
          the surface tension). Note setting `alpha` = 0, will effectively ignore
          curvature dependence of surface tension.
  
      Returns
      -------
      R0: float
          Radius of curvature at the apex estimated from the volume.
  
      Notes
      -----
      See, estimate_volume() for description of the formula.
      """