# MC ^{2} -3: Multigroup Cross Section Generation Code for Fast Reactor Analysis

## Abstract

This paper presents the methods and performance of the MC2 -3 code, which is a multigroup cross-section generation code for fast reactor analysis, developed to improve the resonance self-shielding and spectrum calculation methods of MC2 -2 and to simplify the current multistep schemes generating region-dependent broad-group cross sections. Using the basic neutron data from ENDF/B data files, MC2 -3 solves the consistent P1 multigroup transport equation to determine the fundamental mode spectra for use in generating multigroup neutron cross sections. A homogeneous medium or a heterogeneous slab or cylindrical unit cell problem is solved in ultrafine (2082) or hyperfine (~400 000) group levels. In the resolved resonance range, pointwise cross sections are reconstructed with Doppler broadening at specified temperatures. The pointwise cross sections are directly used in the hyperfine group calculation, whereas for the ultrafine group calculation, self-shielded cross sections are prepared by numerical integration of the pointwise cross sections based upon the narrow resonance approximation. For both the hyperfine and ultrafine group calculations, unresolved resonances are self-shielded using the analytic resonance integral method. The ultrafine group calculation can also be performed for a two-dimensional whole-core problem to generate region-dependent broad-group cross sections. Verification tests have been performed using themore »

- Authors:

- Nuclear Engineering Division, Argonne National Laboratory, 9700 S. Cass Avenue, Lemont, Illinois 60439
- Purdue University, School of Nuclear Engineering, 400 Central Drive, West Lafayette, Indiana 47907

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Nuclear Energy - Nuclear Energy Advanced Modeling and Simulation (NEAMS)

- OSTI Identifier:
- 1412700

- DOE Contract Number:
- AC02-06CH11357

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Nuclear Science and Engineering; Journal Volume: 187; Journal Issue: 3

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS; Multigroup cross section; fast reactor analysis; resonance self-shielding

### Citation Formats

```
Lee, Changho, and Yang, Won Sik.
```*MC 2 -3: Multigroup Cross Section Generation Code for Fast Reactor Analysis*. United States: N. p., 2017.
Web. doi:10.1080/00295639.2017.1320893.

```
Lee, Changho, & Yang, Won Sik.
```*MC 2 -3: Multigroup Cross Section Generation Code for Fast Reactor Analysis*. United States. doi:10.1080/00295639.2017.1320893.

```
Lee, Changho, and Yang, Won Sik. Fri .
"MC 2 -3: Multigroup Cross Section Generation Code for Fast Reactor Analysis". United States.
doi:10.1080/00295639.2017.1320893.
```

```
@article{osti_1412700,
```

title = {MC 2 -3: Multigroup Cross Section Generation Code for Fast Reactor Analysis},

author = {Lee, Changho and Yang, Won Sik},

abstractNote = {This paper presents the methods and performance of the MC2 -3 code, which is a multigroup cross-section generation code for fast reactor analysis, developed to improve the resonance self-shielding and spectrum calculation methods of MC2 -2 and to simplify the current multistep schemes generating region-dependent broad-group cross sections. Using the basic neutron data from ENDF/B data files, MC2 -3 solves the consistent P1 multigroup transport equation to determine the fundamental mode spectra for use in generating multigroup neutron cross sections. A homogeneous medium or a heterogeneous slab or cylindrical unit cell problem is solved in ultrafine (2082) or hyperfine (~400 000) group levels. In the resolved resonance range, pointwise cross sections are reconstructed with Doppler broadening at specified temperatures. The pointwise cross sections are directly used in the hyperfine group calculation, whereas for the ultrafine group calculation, self-shielded cross sections are prepared by numerical integration of the pointwise cross sections based upon the narrow resonance approximation. For both the hyperfine and ultrafine group calculations, unresolved resonances are self-shielded using the analytic resonance integral method. The ultrafine group calculation can also be performed for a two-dimensional whole-core problem to generate region-dependent broad-group cross sections. Verification tests have been performed using the benchmark problems for various fast critical experiments including Los Alamos National Laboratory critical assemblies; Zero-Power Reactor, Zero-Power Physics Reactor, and Bundesamt für Strahlenschutz experiments; Monju start-up core; and Advanced Burner Test Reactor. Verification and validation results with ENDF/B-VII.0 data indicated that eigenvalues from MC2 -3/DIF3D agreed well with Monte Carlo N-Particle5 MCNP5 or VIM Monte Carlo solutions within 200 pcm and regionwise one-group fluxes were in good agreement with Monte Carlo solutions.},

doi = {10.1080/00295639.2017.1320893},

journal = {Nuclear Science and Engineering},

number = 3,

volume = 187,

place = {United States},

year = {Fri Jun 30 00:00:00 EDT 2017},

month = {Fri Jun 30 00:00:00 EDT 2017}

}