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Murugananth Marimuthu,

Phase Transformations Group,

Department of Materials Science and Metallurgy,

University of Cambridge,

Cambridge CB2 3QZ, U.K.

E-mail: Ananth

Added to MAP: September 2000.

Calculation of the retained austenite content in steels using X-ray diffracted intensities from austenite and ferrite.

Language: | C |

Product form: | Source code. |

Platform: | Any Unix and Linux systems. |

Complete program.

The program uses inputs from your X-ray diffraction results and calculates the retained austenite content of the steel. The code has been developed based on the following equation that relates the integrated intensities with volume fraction of austenite and ferrite:

The

Where

v | = | Atomic volume of unit cell | |

F | = | Structure Factor | Proportional to the ratio of the amplitude of wave scattered by an atom to the amplitude of the wave scattered by one electron. |

p | = | Multiplicity factor | Takes into account the number of equivalent planes that contribute for a reflection. |

e^{-2m} | = | Temperature factor | Incorporates the effect of temperature which is known to decrease the intensity of diffracted beam. |

L_{p} | = | Lorentz-polarisation factor | Combination of the Lorentz factor and the polarisation factor; Polarisation factor includes the effect of the electron acceleration in different directions (depending on the electric component of the beam) on the intensity of the scattered beam at any point of consideration; Lotrentz factor includes the geometric factors that affect the intensity of the beam |

- Cullity., B. D,
*Elements of X-ray diffraction*, 1959, pp 105-137

- 1.
**2-Theta** - Unit: degrees, The angle between the incident beam and the scattered beam
- 2.
**Integrated Intensity** - For ferrite and austenite peaks. As obtained from X-ray diffraction experiment
- 3.
**Miller Indices of the planes** - For austenite and ferrite separately as the program asks you

- 1.
**Percentage of austenite with error values** - 2.
**Result file with identification name as its start** - example: test_XRD_result

None.

No information supplied.

none.

Type the Identification name of the material : | test |

Enter the wavelength of the X-radiation used: | 1.5418 |

How many austenite peaks have you got : | 3 |

How many ferrite peaks have you got : | 3 |

Which error estimate fo you prefer | |

1. Based on intensities | |

2. Based on Integrated Intensities (recommended) | |

Enter option: 2 | |

--------------THETA VALUES-------------------- | |

Enter the TWO THETA value for peak 1 of AUSTENITE: | 50.738689 |

Enter the TWO THETA value for peak 2 of AUSTENITE: | 74.999107 |

Enter the TWO THETA value for peak 3 of AUSTENITE: | 91.171608 |

Enter the TWO THETA value for peak 1 of FERRITE: | 65.046341 |

Enter the TWO THETA value for peak 2 of FERRITE: | 82.280563 |

Enter the TWO THETA value for peak 3 of FERRITE: | 98.766502 |

--------------INTENSITIES-------------------- | |

Integrated Intensity 1 for 2-Theta 50.738689 of Austenite: | 3089.500000 |

Integrated Intensity 2 for 2-Theta 74.999107 of Austenite: | 4394.600098 |

Integrated Intensity 3 for 2-Theta 91.171608 of Austenite: | 1998.599976 |

Integrated Intensity 1 for 2-Theta 65.046341 of ferrite: | 106221.796875 |

Integrated Intensity 2 for 2-Theta 82.280563 of ferrite: | 130751.898438 |

Integrated Intensity 3 for 2-Theta 98.766502 of ferrite: | 52179.500000 |

-------------- INDICES {hkl} -------------------- | |

Enter the {hkl} for 2-theta value 50.738689 of AUSTENITE (enter each number with a space): | 0 0 2 |

Enter the {hkl} for 2-theta value 74.999107 of AUSTENITE (enter each number with a space): | 0 2 2 |

Enter the {hkl} for 2-theta value 91.171608 of AUSTENITE (enter each number with a space): | 1 1 3 |

Enter the {hkl} for 2-theta value 65.046341 of FERRITE (enter each number with a space): | 0 0 2 |

Enter the {hkl} for 2-theta value 82.280563 of FERRITE (enter each number with a space): | 1 1 2 |

Enter the {hkl} for 2-theta value 98.766502 of FERRITE (enter each number with a space): | 0 2 2 |

LATTICE PARAMETER RESULTS | |

---------------------- | |

AUSTENITE [ 2-Theta=50.738689 ]: | 3.598538 |

AUSTENITE [ 2-Theta=74.999107 ]: | 3.581792 |

AUSTENITE [ 2-Theta=91.171608 ]: | 3.579432 |

FERRITE [ 2-Theta=65.046341 ] : | 2.867715 |

FERRITE [ 2-Theta=82.280563 ] : | 2.870189 |

FERRITE [ 2-Theta=98.766502 ] : | 2.872466 |

Which system are you using | |

1. CUBIC | |

2. HEXAGONAL and RHOMBHOHEDRAL | |

3. TETRAGONAL | |

4. ORTHORHOMBIC | |

5. MONOCLINIC | |

6. TRICLINIC | |

Enter option: 1 | |

-------------- STRUCTURE FACTOR -------------------- | |

The major alloying elements in your steel are : | |

1. Fe only | |

2. Fe and Ni | |

3. Fe and Cr | |

4. Fe, Ni and Cr | |

Choose option: 2 | |

-------------- RESULT -------------------- |

preT:0.000566 Aus:0.055444 fer:0.010212 |

Percentage of austenite : 2.287 % Error : 0.0566 % |

Percentage of ferrite : 97.713 % Error : 0.0566 % |

--------------------- END ------------------ |

Retained austenite, X-ray diffraction, Steels.

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