**1. NAME AND TITLE OF DATA LIBRARY**

ANS643: ANS-6.4.3 Geometric Progression Gamma-Ray Buildup Factor Coefficients.

**2. NAME AND TITLE OF DATA RETRIEVAL PROGRAMS**

Daniel: Generates Buildup Factors from GP Coefficients.

**3. CONTRIBUTORS**

Oak Ridge National Laboratory, Oak Ridge, Tennessee.

Tokyo Institute of Technology.

Japan Atomic Energy Research Institute.

**4. HISTORICAL BACKGROUND AND INFORMATION**

ANS643 is based on the 1990 buildup factor compilation of American Nuclear Society Standards Working Group ANS-6.4.3. The compilation is based on published and unpublished data from moments method and other sources. The G-P buildup factor coefficients were determined in Japan from the compilation of ANS-6.4.3 and used in CCC-493/QAD-CGGP.

Two significant changes were made in the 1990 update: the G-P coefficients were revised from new PALLAS buildup factor calculations of the elements molybdenum and above in the table giving data for all elements, and a table of Taylor coefficients was added. In addition, G-P coefficient files were added for the high-Z elements which give detail near the absorption edges. Factors to correct for neglect of coherent scattering and for the change in spectra at the shield-tissue interface are included.

Buildup factor tables were added in 1991, and some corrections were made to the Taylor coefficient files. The mass energy absorption coefficient file was added to the package in September 1991.

**5. APPLICATION OF THE DATA**

The data can be used in point kernel codes such as QAD-CGGP.

**6. SOURCE AND SCOPE OF DATA**

The G-P coefficients as used in the Daniel code will reproduce the buildup factor data of ANS-6.4.3 typically within a few percent. The energy range is 15 keV to 15 Mev. Air and medium response data are provided for 23 elements and 3 mixtures (water, air and concrete). The basic compilation extends to 40 mean free paths, but the GP method is capable of interpolation in energy and extrapolation in thickness.

**7. DISCUSSION OF THE DATA RETRIEVAL PROGRAM**

A Fortran 77 code called Daniel will provide buildup factors from the coefficients. It consists of QAD-CGGP subroutines which process GP data and a main routine which together provide an example for incorporation of the GP technique into other applications.

**8. DATA FORMAT AND COMPUTER**

Formatted card images. IBM PC (Microsoft Fortran 77 Version 4.01) (B).

**9. TYPICAL RUNNING TIME**

The sample case executes in less than a second on the IBM 3033.

**10. REFERENCES**

**a. Included in package**

D. K. Trubey, Informal notes (October 1988, revised July 1990).

D. K. Trubey and Y. Harima, "New Buildup Factor Data for Point Kernel Calculations,"
*Proceedings of Theory and Practices in Radiation Protection and Shielding*, pp. 503-511, American
Nuclear Society, ISBN: 0-89448-132-0 (April 1987).

Yoshiko Harima, Shun-ichi Tanaka, Yukio Sakamoto, and Hideo Hirayama, "Development
of New Gamma-Ray Buildup Factor and Application to Shielding Calculations," *J. Nucl. Sci.
Technol.* 28[1], 74-84 (1991).

D. K. Trubey, *New Gamma-Ray Buildup Factor Data for Point Kernel Calculations: ANS-6.4.3
Standard Reference Data*, NUREG/CR-5740, ORNL/RSIC-49/R1, Oak Ridge National
Laboratory (August 1991).

**b. Background information:**

Y. Harima, Y. Sakamoto, S. Tanaka, and M. Kwai, "Validity of the Geometrical Progression
Formula in Approximating Gamma-Ray Buildup Factors," *Nucl. Sci. Eng.* 94, 24-35 (1986).

"Gamma-Ray Attenuation Coefficients and Buildup Factors for Engineering Materials," an American National Standard, ANSI/ANS-6.4.3-1991 (August 26, 1991). Note that the data are the same in the ORNL/RSIC-49/R1 and the ANS 6.4.3 Standard.

K. Shure and O. J. Wallace, *Taylor Parameters for Gamma-Ray Buildup Factors in the
Proposed American National Standard*, WAPD-1628, Bettis Atomic Power Laboratory (Oct.
1988).

Y. Sakamoto and S. Tanaka, *QAD-CGGP2 and G33-GP2: Revised Versions of QAD-CGGP
and G33-GP Codes with Conversion Factors from Exposure to Ambient and Maximum Dose
Equivalents*, JAERI-M 90-110, Japan Atomic Energy Research Institute (June 1990).

**11. CONTENTS OF LIBRARY**

Included are the referenced documents (a) and one 5.25-in DS/HD diskette which contains the GP coefficients and the Daniel program written in Fortran 77, an executable module, Taylor coefficients, absorption coefficients, and tables of the ANS-6.4.3 buildup factor data, sample problem input, and the sample problem output.

**12. DATE OF ABSTRACT**

October 1988, revised August 1990, March 1991, September 1991, June 1993.

**KEYWORDS:** BUILDUP FACTORS; GAMMA-RAY CROSS SECTIONS