An interesting discussion of the development of the Debye-Waller correction can be found in the IUCr publication, "Fifty Years of X- Ray Diffraction," edited by P.P. Ewald (unfortunately, it's no longer in print). It seems that Debye was the first scientist to tackle "a problem which appeared to others hopelessly complicated at the time: the influence of the temperature motion of the atoms on the diffraction of X-rays (p. 79 of aforementioned publication)." Interestingly, his original formulation of the correction included the constant M, "which can be expressed by means of the elastic properties of the crystal or their combination, the 'Debye Temperature', which occurs in the theory of the specific heat (same reference)." The text goes on to mention that Ivar Waller demonstrated in 1923 that Debye's expression for M was wrong by a factor of two. No mention is given in "Fifty Years" of a "B factor" but it sounds as though Waller decided to use a different nomenclature in his paper from 1927 to avoid confusion.

Too bad that "Fifty Years" is no longer in print, though used copies can be purchased from various on-line booksellers. It provides a very enlightening and easily readable history of the early days in the field, and the interchange of scientists and ideas across the Atlantic Ocean.

Diana


On Jan 24, 2007, at 11:14 AM, Santarsiero, Bernard D. wrote:

It looks like the earliest reference to the Debye-Waller factor is from
Debye's paper:

Uber den Einfluss der Warmebewegung uf die Interferenzerscheinungen beiu
Rontgenstrahlen, Verhandl. deut. phyik. Ges., 15, 678-689 (1913),

and the succeeding paper Verhandl. deut. phyik, Ges., 15, 738-752 (1913),

and Waller:

Die Einwirkung der Warmbewegung der Kristllatome auf Intersitat, Lage, and
Scharfe der Rontgenspektrallinein, Ann. Physik, 83, 153-183 (1927).

Interestingly, beta was used for the anisotropic Gaussian form of the
isotropic Gaussian B-factor.

Bernie



On Wed, January 24, 2007 9:05 am, Roberto Steiner wrote:
Hi Rajesh,

I also wondered about that.
Not having been able to find a good explanation in the literature
I thought of it as reducing factor of the *B*ragg peaks. Mhhhh???

Then I stopped thinking about it (I now try to call them ADPs)


Roberto

On 24 Jan 2007, at 12:42, Rajesh Kumar Singh wrote:

May be too trivial, I was just wondering
what "B" stands for in the term "B-factor".

Thanks

Rajesh

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Diana R. Tomchick
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