Is Bi2Te3 Rhombohedral or Hexagonal, and How Do You Analyze Its XRD Data?

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Bi2Te3 can exhibit both rhombohedral and hexagonal crystal structures. To calculate grain size from XRD data, the formula g = 0.9λ/Bcosθ is used, where λ is the wavelength of Cu Kα1 radiation (1.5406×10^-10 m) and B is the bandwidth at half maximum. The bandwidth can be determined by analyzing the diffraction pattern at the Bragg angle. For calculating the lattice parameter, Bragg's law (nλ = 2d(hkl)sinθ) is applied, along with a function for inter-planar distance specific to the crystal structure. This information is crucial for understanding the properties of Bi2Te3.
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need urgent information

Dear All,

Can anyone inform me the following things on urgent basis ?

- The crystal structure of Bi2Te3 is Rhombohedral or Hexagonal ?
- How can I calculate the grain size from the XRD data/curve for Bi2Te3 ?
- how to calculate the lattice parameter of Bi2Te3 (Rhombohedral/Hexagonal crystal structure) from the XRD data/curve ?

Providing such information would be very much helpful to me.

Sincerely
Mahedi
 
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not so sure about your first question, Bi2Te3 can posses both structures..
to calculate the grain size [g]:
g=0.9λ/Bcosθ
where,
0.9 is the shape factor
λ is the wavelength of the Cu Kα1 radiation [λ =1.5406×10-10 m]
B is the band width at half maximum [BWHM], and here’s how to get it:
in the diffraction pattern and at an exact Bragg angle, find the maximum intensity value, divide it by 2, you would have 2 points with the same value on both sids of the peak [illustrated below]:
http://img12.imageshack.us/img12/5416/31327198.png

B= 2θ2-2θ1 [B should be measured in Radians]

To find the lattice parameters, you use two equations
1] Bragg’s law:

n λ= 2d(hkl)sinθ
set n=1

2] the function that describe the inter-planar distance [d] as a function of the unit cell parameters and Miller indices, h, k and l. i.e. in the case of the hexagonal system:

1/d2(hkl)=4/3[h2+hk+k2]/a2 + l2/c2

hope I’m helping, good luck.
 
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Dear Sir,
Thanks for your kind information regarding my inquiry. Sorry for late reply as I was in vacation.
 
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