Deuterium

References

Equation of State

I. A. Richardson, J. W. Leachman, and E. W. Lemmon. Fundamental Equation of State for Deuterium. J. Phys. Chem. Ref. Data, 43:013103, 2014. doi:10.1063/1.4864752.

Surface Tension

A. Mulero, I. Cachadiña, and M. I. Parra. Recommended Correlations for the Surface Tension of Common Fluids. J. Phys. Chem. Ref. Data, 41(4):043105–1:13, 2012. doi:10.1063/1.4768782.

Aliases

deuterium, DEUTERIUM, D2

Molecular Structure

Deuterium — 2D structure (interactive: click and drag to rotate)

Fluid Information

Parameter, Value
General
Molar mass [kg/mol]	0.0040282
CAS number	7782-39-0
ASHRAE class	UNKNOWN
Formula	D2
Acentric factor	-0.136290274128
InChI	InChI=1S/H2/h1H/i1+1D
InChIKey	UFHFLCQGNIYNRP-VVKOMZTBSA-N
SMILES	[2H][2H]
ChemSpider ID	22931
Limits
Maximum temperature [K]	600.0
Maximum pressure [Pa]	2000000000.0
Triple point
Triple point temperature [K]	18.724
Triple point pressure [Pa]	17189.101973451077
Critical point
Critical point temperature [K]	38.33999906574558
Critical point density [kg/m3]	69.40588676379666
Critical point density [mol/m3]	17230.000189612398
Critical point pressure [Pa]	1679550.2649363957

REFPROP Validation Data

Note

This figure compares the results generated from CoolProp and those generated from REFPROP. They are all results obtained in the form \(Y(T,\rho)\), where \(Y\) is the parameter of interest and which for all EOS is a direct evaluation of the EOS

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.

Consistency Plots

The following figure shows all the flash routines that are available for this fluid. A red + is a failure of the flash routine, a black dot is a success. Hopefully you will only see black dots. The red curve is the maximum temperature curve, and the blue curve is the melting line if one is available for the fluid.

In this figure, we start off with a state point given by T,P and then we calculate each of the other possible output pairs in turn, and then try to re-calculate T,P from the new input pair. If we don’t arrive back at the original T,P values, there is a problem in the flash routine in CoolProp. For more information on how these figures were generated, see CoolProp.Plots.ConsistencyPlots

Note

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.

Flash consistency (HEOS): 0 inconsistent, 821 exceptions, 0 bad-phase across 11 input pair(s).

Download full failure list (CSV)

Failing state points (sample, up to 20 per pair/class)

Pair	Class	Region	P [Pa]	T [K]	In1	Val1	In2	Val2	Error
DmolarHmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
DmolarHmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
DmolarHmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
DmolarHmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
DmolarHmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
DmolarHmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
DmolarHmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
DmolarHmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
DmolarHmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
DmolarHmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
DmolarHmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
DmolarHmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
DmolarP	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
DmolarP	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
DmolarP	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
DmolarP	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
DmolarP	EXCEPTION	1phase	6.0521e+08	540.495	Dmolar	48032.5	P	6.0521e+08	The temperature of -511.540154 K is below the minimum of 0.000000 K
DmolarP	EXCEPTION	1phase	6.0521e+08	555.371	Dmolar	47555.6	P	6.0521e+08	The temperature of -32428.560280 K is below the minimum of 0.000000 K
DmolarP	EXCEPTION	1phase	6.0521e+08	570.247	Dmolar	47089.9	P	6.0521e+08	The temperature of -8217.739361 K is below the minimum of 0.000000 K
DmolarP	EXCEPTION	1phase	6.0521e+08	585.124	Dmolar	46635	P	6.0521e+08	The temperature of -4900.427083 K is below the minimum of 0.000000 K
DmolarP	EXCEPTION	1phase	6.0521e+08	600	Dmolar	46190.7	P	6.0521e+08	The temperature of -3596.218513 K is below the minimum of 0.000000 K
DmolarP	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
DmolarP	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
DmolarP	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
DmolarP	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
DmolarP	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
DmolarP	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
DmolarP	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
DmolarP	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
DmolarSmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
DmolarSmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
DmolarSmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
DmolarSmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
DmolarSmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
DmolarSmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
DmolarSmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
DmolarSmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
DmolarSmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
DmolarSmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
DmolarSmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
DmolarSmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
DmolarT	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
DmolarT	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
DmolarT	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
DmolarT	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
DmolarT	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
DmolarT	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
DmolarT	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
DmolarT	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
DmolarT	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
DmolarT	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
DmolarT	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
DmolarT	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
DmolarUmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
DmolarUmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
DmolarUmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
DmolarUmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
DmolarUmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
DmolarUmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
DmolarUmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
DmolarUmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
DmolarUmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
DmolarUmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
DmolarUmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
DmolarUmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
HmolarP	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
HmolarP	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
HmolarP	EXCEPTION	1phase	4.48875e+08	49.5766	Hmolar	7384.18	P	4.48875e+08	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.002462,-0.961723]
HmolarP	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
HmolarP	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
HmolarP	EXCEPTION	1phase	6.0521e+08	49.5766	Hmolar	9427.92	P	6.0521e+08	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001826,-0.971611]
HmolarP	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
HmolarP	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
HmolarP	EXCEPTION	1phase	8.15995e+08	49.5766	Hmolar	12045.8	P	8.15995e+08	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001354,-0.978944]
HmolarP	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
HmolarP	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
HmolarP	EXCEPTION	1phase	1.10019e+09	49.5766	Hmolar	15392.1	P	1.10019e+09	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001004,-0.984383]
HmolarP	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
HmolarP	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
HmolarP	EXCEPTION	1phase	1.48337e+09	49.5766	Hmolar	19662.1	P	1.48337e+09	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000745,-0.988417]
HmolarP	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
HmolarP	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
HmolarP	EXCEPTION	1phase	2e+09	49.5766	Hmolar	25102	P	2e+09	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000553,-0.991409]
HmolarSmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
HmolarSmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
HmolarSmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
HmolarSmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
HmolarSmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
HmolarSmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
HmolarSmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
HmolarSmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
HmolarSmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
HmolarSmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
HmolarSmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
HmolarSmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
PSmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
PSmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
PSmolar	EXCEPTION	1phase	4.48875e+08	49.5766	P	4.48875e+08	Smolar	-7.2419	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.002462,-0.961723]
PSmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
PSmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
PSmolar	EXCEPTION	1phase	6.0521e+08	49.5766	P	6.0521e+08	Smolar	-10.1209	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001826,-0.971611]
PSmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
PSmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
PSmolar	EXCEPTION	1phase	8.15995e+08	49.5766	P	8.15995e+08	Smolar	-13.2081	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001354,-0.978944]
PSmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
PSmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
PSmolar	EXCEPTION	1phase	1.10019e+09	49.5766	P	1.10019e+09	Smolar	-16.4644	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001004,-0.984383]
PSmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
PSmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
PSmolar	EXCEPTION	1phase	1.48337e+09	49.5766	P	1.48337e+09	Smolar	-19.8489	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000745,-0.988417]
PSmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
PSmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
PSmolar	EXCEPTION	1phase	2e+09	49.5766	P	2e+09	Smolar	-23.326	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000553,-0.991409]
PT	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
PT	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
PT	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
PT	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
PT	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
PT	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
PT	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
PT	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
PT	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
PT	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
PT	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
PT	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
PUmolar	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
PUmolar	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
PUmolar	EXCEPTION	1phase	4.48875e+08	49.5766	P	4.48875e+08	Umolar	903.019	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.002462,-0.961723]
PUmolar	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
PUmolar	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
PUmolar	EXCEPTION	1phase	6.0521e+08	49.5766	P	6.0521e+08	Umolar	1208.62	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001826,-0.971611]
PUmolar	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
PUmolar	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
PUmolar	EXCEPTION	1phase	8.15995e+08	49.5766	P	8.15995e+08	Umolar	1635.65	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001354,-0.978944]
PUmolar	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
PUmolar	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
PUmolar	EXCEPTION	1phase	1.10019e+09	49.5766	P	1.10019e+09	Umolar	2218.48	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.001004,-0.984383]
PUmolar	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
PUmolar	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
PUmolar	EXCEPTION	1phase	1.48337e+09	49.5766	P	1.48337e+09	Umolar	2999.25	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000745,-0.988417]
PUmolar	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
PUmolar	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]
PUmolar	EXCEPTION	1phase	2e+09	49.5766	P	2e+09	Umolar	4032.15	unable to solve 1phase PY flash with Tmin=18.723, Tmax=900 due to error: Inputs in Brent [42941.452708,47712.002260] do not bracket the root. Function values are [-1.000553,-0.991409]
SmolarT	EXCEPTION	1phase	4.48875e+08	19.824	P	4.48875e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.002430,-0.956999]
SmolarT	EXCEPTION	1phase	4.48875e+08	34.7003	P	4.48875e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998001,-0.898114]
SmolarT	EXCEPTION	1phase	6.0521e+08	19.824	P	6.0521e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001802,-0.968107]
SmolarT	EXCEPTION	1phase	6.0521e+08	34.7003	P	6.0521e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998517,-0.924433]
SmolarT	EXCEPTION	1phase	8.15995e+08	19.824	P	8.15995e+08	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.001337,-0.976345]
SmolarT	EXCEPTION	1phase	8.15995e+08	34.7003	P	8.15995e+08	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.998900,-0.943953]
SmolarT	EXCEPTION	1phase	1.10019e+09	19.824	P	1.10019e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000991,-0.982456]
SmolarT	EXCEPTION	1phase	1.10019e+09	34.7003	P	1.10019e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999184,-0.958431]
SmolarT	EXCEPTION	1phase	1.48337e+09	19.824	P	1.48337e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000735,-0.986988]
SmolarT	EXCEPTION	1phase	1.48337e+09	34.7003	P	1.48337e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999395,-0.969169]
SmolarT	EXCEPTION	1phase	2e+09	19.824	P	2e+09	T	19.824	Inputs in Brent [42277.365834,47712.002260] do not bracket the root. Function values are [-1.000545,-0.990349]
SmolarT	EXCEPTION	1phase	2e+09	34.7003	P	2e+09	T	34.7003	Inputs in Brent [30062.953373,47712.002260] do not bracket the root. Function values are [-0.999551,-0.977133]

Superancillary Plots

The following figure shows the accuracy of the superancillary functions relative to extended precision calculations carried out in C++ with the teqp library. The results of the iterative calculations with REFPROP and CoolProp are also shown.

Note

You can download the script that generated the following figure here: (link to script), right-click the link and then save as… or the equivalent in your browser. You can also download this figure as a PDF.