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Function MAP_STEEL_DCG

  1. Provenance of code.
  2. Purpose of code.
  3. Specification.
  4. Description of subroutine's operation.
  5. References.
  6. Parameter descriptions.
  7. Error indicators.
  8. Accuracy estimate.
  9. Any additional information.
  10. Example of code
  11. Auxiliary subroutines required.
  12. Keywords.
  13. Download source code.
  14. Links.

Provenance of Source Code

H.K.D.H. Bhadeshia,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.

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Purpose

To calculate the differential (w.r.t. X) of the natural logarithm of the activity of carbon in austenite.

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Specification

Language:FORTRAN
Product form:Source code

DOUBLE PRECISION FUNCTION MAP_STEEL_DCG(X, T, W, R)

DOUBLE PRECISION X, T, W, R

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Description

MAP_STEEL_DCG gives the differential (with respect to X, the carbon concentration in austenite in mole fraction) of the natural logarithm of the activity of carbon in austenite [1,2,3]. The carbon-carbon interaction energy used is calculated according to [4].

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References

  1. J.R. Lacher, Proc. Camb. Phil. Soc. Math. Phys. Sci., 33, (1937), 518.
  2. R.H. Fowler and E.A. Guggenheim, Statistical Thermodynamics, Cambridge University Press, New York, (1939).
  3. G.J. Shiflet, J.R. Bradley, and H.I. Aaronson, Metall. Trans A, (1978), 999-1008.
  4. H.K.D.H. Bhadeshia, Metal Science, 14, (1980), 230-232.

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Parameters

Input parameters

X - real
X is the carbon concentration in austenite xgamma (in mole fraction).

T - real
T is the absolute temperature (in kelvin).

W - real
W is the carbon-carbon interaction energy in austensite w (in joules per mole, Jmol-1).

R - real
R is the universal gas constant (in joules per mole per kelvin, Jmol-1K-1).

Output parameters

MAP_STEEL_DCG - real
MAP_STEEL_DCG is the differential (w.r.t. X) of the natural logarithm of the activity of carbon in austenite.

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Error Indicators

None.

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Accuracy

See references [3,4].

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Further Comments

None.

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Example

1. Program text

       DOUBLE PRECISION X,T,W,R,MAP_STEEL_DCG,XDCG
       INCLUDE 'map_constants_gas.f'
       READ (5,*) X,T,W
       XDCG = MAP_STEEL_DCG(X,T,W,R)
       WRITE (6,10) XDCG
10     FORMAT ('XDCG = ',D13.5)
       STOP
       END

2. Program data

0.11871D-01   931.0   8352.3

3. Program results

XDCG = 0.94596D+02

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Auxiliary Routines

None.

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Keywords

activity of carbon, austenite

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Download

Download source code

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MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.

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