I don't know what it is to 6 decimal places, and I'm pretty sure it
isn't known. The sixth decimal place for ~8 keV is 0.008 eV, which is
about the energy of a thermally-induced vibration. Changes in chemical
environment of the copper atom (and hence the "starting energy" of the
electron that fills theK-shell core hole) will shift emission lines even
more than this. So, unless your copper anode is a chemically pristine
single crystal of copper that is cooled by liquid Helium, the width of
the thermal Doppler shifts for Kalpha1 and Kalpha2 peaks are going to
make them VERY broad with respect to the sixth decimal place.
As for references:
I generally use the "little orange book"
http://xdb.lbl.gov/Section1/Table_1-2.pdf
which reports CuKa1 = 8047.78 eV (1.54060 A) and CuKa2 = 8027.83 eV
(1.54443 A)
this is largely taken from the original literature reference:
J. A. Bearden, “X-Ray Wavelengths,” /Rev. Mod. Phys. /*39*, 78 (1967)
Another reference is the widely-used "mucal" data compiled by Pathikrit
Bandyopadhyay
http://csrri.iit.edu/cgi-bin/mucal-form?name=Cu&ener=
Which reports CuKa1 = 8046.99993 eV (1.54075 A)
This is taken from the classic book:
"Compilation of x-ray cross sections" W.H. McMaster et. al. (1969) OSTI
ID: 4794153
which I think is largely taken from the monumental body of measurements
made by J. H. Hubbell.
The "last word" on relative yields of fluorescence emission lines
appears to be
/M. O. Krause, J. Phys. Chem. Ref. Data. 8, 307(1979)/
You may notice that these two popular sources do not report the same
value for CuKa1. The second is given to 8 decimal places, but something
tells me that the uncertainty is higher than that.
It is interesting to note that there is definitely inconsistency in the
way x-ray wavelengths are defined. for example, to convert from photon
energy to wavelength, you use lambda=12398.42/energy, or is it just
12398.0? Sometimes I have seen 12398.45. Gathering together the physical
constants (http://physics.nist.gov/cuu/Constants/):
speed of light: c = 299792458.00000000 m/s (exactly! what are the
chances of that? :)
Plank's constant: h = 4.13566733(10) x 10^-15 eV*s (known to 8 decimal
places)
Angstroem: A = 1e-10 m (exact)
gives: c*h*1e10 = 12398.4187(3) eV*Angstroem
This ought to be the correct conversion factor, but rounded-off values
are often taken as acceptable in the literature and in beamline
software. For example:
http://heasarc.gsfc.nasa.gov/cgi-bin/Tools/energyconv/energyConv.pl)
uses a slightly different value. It would appear that there is some
disagreement as to the unit charge of an electron in the sixth decimal
place.
So, I guess if you really want to know what CuKa1 is to six decimal
places, you have to measure it yourself. I can tell you how you might go
about doing that. You can buy chunks of Si from NIST that are certified
to have a unit cell spacing of 5.4311946 ± 0.0000092 Angstroem. A little
better than 6 decimal places.
https://srmors.nist.gov/view_detail.cfm?srm=640c
Bounce your favorite rotating-anode beam off of one of these babies and
then put your detector somewhere in the next building to see what the
absolute angle between the incident beam and the diffracted ray is. If
your detector pixels are 0.1 mm, then you will need to place the
detector 100 meters away from the Si crystal get the sixth decimal place
accurate. You will also need to know the direct beam position to the
same accuracy. In fact, all three edges of the triangle between the
sample, direct beam and the Si(111) diffraction spot must be known to
six decimal places for this to work. This means you will need a 48-meter
long stage (sin(2*theta)*100 m) to translate the detector. The peaks
will be broad (look up "core hole lifetime" to read about x-ray emission
line widths), but you should be able to fit them to Gaussians and get a
little better than 1 pixel accuracy. If you can do that, you might only
need a 10 meter path.
For the record, I personally define the wavelength of my beamline (ALS
8.3.1) so that the "inflection" of the absorption edge of a metal Cu
foil is 8979.000 eV. This is taken from the "electron binding energy" in
the "little orange book"
http://xdb.lbl.gov/Section1/Table_1-1a.htm
and agrees with the original literature:
J. A. Bearden and A. F. Burr, “Reevaluation of X-Ray Atomic Energy
Levels,” /Rev. Mod. Phys./ *39*, 125 (1967)
Years ago, I measured the positions of 17 different absorption edges
from 14 different metal foils and compared them to those of Bearden & Burr.
http://bl831.als.lbl.gov/~jamesh/mono_calib.png
The scatter in these points is a bit alarming. However, Bearden and Burr
were using a much more monochromatic beam than can be achieved with
Si(111). On most protein crystallography beamlines, the energy spread
acts as a blurring fliter on the absorption edge, changing the position
of maximum slope, which is what Bearden and Burr defined as the "edge".
Since the best-fit straight line to the "error" I measured in all the
edge positions has a very shallow slope, I am assuming that much of this
"error" is due to offsets induced by these fine-structure effects. So, I
am further assuming (hoping) that the spacings on the Heidenhain rotary
encoder in my monochromator are accurate. I am using Cu because it is
convenient, radiation-hard and seems to have a minimal amount of fine
structure in its absorption edge. Se might sound like a good idea, but
the position of the Se edge moves around a lot (+/- 3 eV) depending on
the chemical state, and the chemical state of many Se preparations (such
as SeMet for example), changes with radiation damage.
This does mean that the energy/wavelength written into image headers at
my beamline may be off by as much as 7 eV relative to another facility
that uses a different metal edge as their reference standard. That said,
I would like to add that even this difference ultimately corresponds to
a 0.05% change in bond lengths. So, I'm not all that worried about it.
-James Holton
MAD Scientist
Jim Pflugrath wrote:
> It has come to my attention that the wavelength of a Copper Kalpha may
> have changed over the years. At least this appears to be true if you
> look at the International Tables.
>
> What is the currently approved wavelength in Angstrom of a Copper
> Kalpha X-ray produced by a X-ray generator with a copper anode to 6
> decimal points? In your response, please tell us how you arrived at
> that wavelength and how you weighted any alpha1, alpha2, etc components.
>
> Thanks! Jim
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