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Crystal structure
Load cif file: Space group:
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Unit cell viewer
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All atomic positions |
All symmetry operations |
Uij = | U11 | U12 | U13 | ||
U21 | U22 | U23 | |||
U31 | U32 | U33 |
HKL input
[Ex.) 1 1 0 (separated by space(s))]
Conditions
: Qmax = Å-1: 2θmax = deg, Ei= meV
: 2θmax = deg, λi= Å
Results
Download the calculated structure factors as a text file.
Definitions
- Q : Length of the scattering vector. \(|\boldsymbol{Q}|=|\boldsymbol{k}_i-\boldsymbol{k}_f|=2\pi/d_{hkl}\)
- 2th : Scattering angle, 2θ.
- Lorentz : Lorentz factor for ω or θ-2θ scans for a single crystal. \(\lambda^3/\sin2\theta\)
- Ical : Integrated intensity of the Bragg peak at (H,K,L). \(|F_{cal}|^2\lambda^3/\sin2\theta\)
- |Fcal| : Nuclear structure factor, \(|F_{cal}| = |\sum_jg_jb_jT_j\exp(-i\boldsymbol{Q}_{hkl}\cdot \boldsymbol{d}_j)| \)
- \(g_j\) : Occupancy of the jth atom.
- \(b_j\) : Scattering length of the jth atom.
- \(\boldsymbol{Q}_{hkl}\) : Scattering vector for the Bragg reflection at (H,K,L), \(\boldsymbol{Q}_{hkl}=H\boldsymbol{a}^*+K\boldsymbol{b}^*+L\boldsymbol{c}^*\).
- \(\boldsymbol{d}_j\) : Fractional coordinate for the jth atom. \(\boldsymbol{d}_j=x_j\boldsymbol{a}+y_j\boldsymbol{b}+z_j\boldsymbol{c}\).
- \(T_j\) : Atomic dispacement factor (Debye-Waller factor).
- Biso : \(T_j=\exp(-B_j(\sin\theta/\lambda)^2)\).
- Uiso : \(T_j=\exp(-8\pi^2U_j(\sin\theta/\lambda)^2)\).
- Uaniso : \(T_j=\exp(-\frac{1}{2}(U_{j11}H^2|a^*|^2+U_{j22}K^2|b^*|^2+U_{j33}L^2|c^*|^2+2U_{j12}HK|a^*||b^*|+2U_{j13}HL|a^*||c^*|+2U_{j23}KL|b^*||c^*|))\).
Scattering plane
- \(\tau_1= \) (H1,K1,L1): (,,). The 1st vector to define the scattering plane.
- \(\tau_2= \) (H2,K2,L2): (,,). The 2nd vector to define the scattering plane, and should be independent of \(\tau_1\).
- \(\tau_{\rm ofst}= \) (Hofst,Kofst,Lofst): (,,). (Optional) The offset vector (out-of-plane direction).
Structure factors or intensities will be calculated for the points described by \(n\tau_1+m\tau_2+\tau_{\rm ofst}\) (n and m are integers).
It is also possible to use fractional numbers for Hi, Ki and Ki (i=1, 2, and ofst). However, nuclear structure factors are finite only when the actual HKL indices are integers.
It is also possible to use fractional numbers for Hi, Ki and Ki (i=1, 2, and ofst). However, nuclear structure factors are finite only when the actual HKL indices are integers.
Conditions
: Qmax = Å-1. (Intensities will be calculated to be \(|F_{hkl}|^2\)): 2θmax = deg, Ei= meV. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
: 2θmax = deg, λi= Å. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
Intensity Map
Download the intensity map of the nuclear reflections as a png file. |
Radius for the strongest reflection on the scattering plane: pixels. Show indices.
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This is test.
Input data
Data type
([Option] λi= Å for extinction correction. )(Ei= meV. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
(λi= Å. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
Option: Extinction correction (λ or Ei needs to be specified. The scattering path lengths (cm) for each reflection need to be added after Fobs_err or Iobs_err.)
- Extinction parameter : E0=.
- d-value of the monochromator : d=
Observed data
Load from file: - Paste the observed data directly into the textarea below, or use the "Load from file" option.
- Lines starting with "#" are ignored.
Refinement
Extinction parameter E0Overall factor for Biso or Uiso.
Label | Symbol | x | y | z | Occ. | iso | XYZ constraint |
Results
Calculation log
Download fitting log as a text file.
Fcal-Fobs data
Download Fcal-Fobs data as a text file.
Fcal-Fobs plot
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Scale factor = Extinction parameter E0 = R-factors
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Definitions
- Scale factor s : \(|F_{obs}|^2=s|F_{cal}|^2\) (without extinction correction).
- Extinction correction factor Y : \(|F_{obs}|^2=sY|F_{cal}|^2\).
- \(Y=1/\sqrt{1+P|F_{cal}|^2E_0}\).
- \(P=2\bar{t}(1+\cos2\theta_{M}\cos^4 2\theta)/[\sin 2\theta(1+\cos 2\theta_{M}\cos^2 2\theta)]\).
- \(\bar{t}=\lambda^3l_{sc}10^4/V^2\).
- \(E_0\) : Extinction parameter (user input).
- \(2\theta_M\) : Scattering angle of the monochromator.
- \(l_{sc}\) : Scattering path length.
- \(V\) : Volume of the unit cell.
Conditions
Incident neutron:
2θ range : 2θmin=, 2θmax=, d2θ=
Resolution
U=, V=, W=
(\({\rm FWHM}=\sqrt{U\tan^2\theta+V\tan\theta+W}\))
Download calculated powder diffraction profile as a text file.
Select magnetic atoms
Note : m-form symbol, <j2>/<j0> factor
Label | Symbol | x | y | z | Magnetic | m-form symbol |
<j2>/<j0> factor | status |
Magnetic form factor viewer
This is just an instant viewer, and is not directly related to the magnetic structure analysis.
m-form symbol 1:, f(Q)=<j0(Q)>+ <j2(Q)>
m-form symbol 2:, f(Q)=<j0(Q)>+ <j2(Q)>
m-form symbol 3:, f(Q)=<j0(Q)>+ <j2(Q)>
Function : , Qmin: Å-1 Qmax: Å-1
Dipole approximation of magnetic form factors f(Q)
Magnetic form factor is the Fourier-transformed unpaired electron distribution (or magnetization distribution) in an atom.
The magnetic form factor can be approximately discrived by using <jK>, which is an integral containing the normalized magnetization distribution function and the spherical Bessel function of Kth order[1].
In the dipole approximation, the magnetic form factor f(Q) is described by <j0> and <j2>. This is valid when <j0> is larger than <j2>.
The magnetic form factor can be approximately discrived by using <jK>, which is an integral containing the normalized magnetization distribution function and the spherical Bessel function of Kth order[1].
In the dipole approximation, the magnetic form factor f(Q) is described by <j0> and <j2>. This is valid when <j0> is larger than <j2>.
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i) When \(\boldsymbol{L}\) can be replaced by \((g-2)\boldsymbol{S}\), (this is the case for 3d transition metal ions),
\(f(Q) = \langle j_0(Q)\rangle+(1-2/g)\langle j_2(Q)\rangle \)
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ii) When the magnetic ion is characterized by a total angular momentum \(\boldsymbol{L}\), (this is the case for rare-earth ions),
\(f(Q) = \langle j_0(Q)\rangle+\frac{J(J+1)+L(L+1)-S(S+1)}{3J(J+1)+S(S+1)-L(L+1)}\langle j_2(Q)\rangle =\langle j_0(Q)\rangle+\frac{2-g_J}{g_J}\langle j_2(Q)\rangle, (g_J=\frac{3}{2}+\frac{S(S+1)-L(L+1)}{2J(J+1)}) \)
Magnetic form factor symbols (m-form symbol)
Coefficients for analytical approximation of magnetic form factors are taken from "Tables of Form Factors (Institut Laue Langevin, France)".[Element] [ion]: [m-form symbol] |
H | He | ||||||||||||||||
Li | Be | B | C | N | O | F | Ne | ||||||||||
Na | Mg | Al | Si | P | S | Cl | Ar | ||||||||||
K | Ca | Sc Sc: Sc0 Sc+: Sc1 Sc2+: Sc2 |
Ti Ti: Ti0Ti+: Ti1 Ti2: Ti2 Ti3+: Ti3 |
V V: V0V+: V1 V2+: V2 V3+:V3 V4+:V4 |
Cr Cr: Cr0Cr+: Cr1 Cr2+: Cr2 Cr3+: Cr3 Cr4+: Cr4 |
Mn Mn: Mn0Mn+: Mn1 Mn2+: Mn2 Mn3+: Mn3 Mn4+: Mn4 |
Fe Fe: Fe0Fe+: Fe1 Fe2+: Fe2 Fe3+: Fe3 Fe4+: Fe4 |
Co Co: Co0Co+: Co1 Co2+: Co2 Co3+: Co3 Co4+: Co4 |
Ni Ni: Ni0Ni+: Ni1 Ni2+: Ni2 Ni3+: Ni3 Ni4+: Ni4 |
Cu Cu: Cu0Cu+: Cu1 Cu2+: Cu2 Cu3+: Cu3 Cu4+: Cu4 |
Zn | Ga | Ge | As | Se | Br | Kr |
Rb | Sr | Y Y: Y0 |
Zr Zr: Zr0Zr+: Zr1 |
Nb Nb: Nb0Nb+: Nb1 |
Mo Mo: Mo0Mo+: Mo1 |
Tc Tc: Tc0Tc+: Tc1 |
Ru Ru: Ru0Ru+: Ru1 |
Rh Rh: Rh0Rh+: Rh1 |
Pd Pd: Pd0Pd+: Pd1 |
Ag | Cd | In | Sn | Sb | Te | I | Xe |
Cs | Ba | Hf | Ta | W | Re | Os | Ir | Pt | Au | Hg | Tl | Pb | Bi | Po | At | Rn | |
Fr | Ra | Rf | Db | Sg | Bh | Hs | Mt | Ds | Rg | Cn | Nh | Fl | Mc | Lv | Ts | Og |
La | Ce Ce2+: Ce2 |
Pr Pr3+: Pr3 |
Nd Nd2+: Nd2Nd3+: Nd3 |
Pm | Sm Sm2+: Sm2Sm3+: Sm3 |
Eu Eu2+: Eu2Eu3+: Eu3 |
Gd Gd2+: Gd2Gd3+: Gd3 |
Tb Tb2+: Tb2Tb3+: Tb3 |
Dy Dy2+: Dy2Dy3+: Dy3 |
Ho Ho2+: Ho2Ho3+: Ho3 |
Er Er2+: Er2Er3+: Er3 |
Tm Tm2+: Tm2Tm3+: Tm3 |
Tb Yb2+: Yb2Yb3+: Yb3 |
Lu |
Ac | Th | Pa | U U3+: U3U4+: U4 U5+: U5 |
Np Np3+: Np3Np4+: Np4 Np5+: Np5 Np6+: Np6 |
Pu Pu3+: Pu3Pu4+: Pu4 Pu5+: Pu5 Pu6+: Pu6 |
Am Am2+: Am2Am3+: Am3 Am4+: Am4 Am5+: Am5 Am6+: Am6 Am7+: Am7 |
Cm | Bk | Cf | Es | Fm | Md | No | Lr |
Notice
Magnetic atoms are not selected. Please go to "Magnetic Atoms" tab.
Magnetic unit cell
\(a\times\) \(b\times\) \(c\) (these numbers must be integers.)
Number of bases N (magnetic is decomposed into N parts)
N= (up to 10)Magnetic structure
Definition of the magnetic structure
The largest component of the magnetic moments is scaled to pixel (only for visualization). |
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Magnetic domains
Input format
In this program, magnetic structures are deconposed into a number of "bases", which are not necessarliy basis vectors deduced from symmetry arguments.
You are supposed to modify the magnetic structur by changing the amplitudes (overall multiplying factor) of each basis.
For instance, if the magentic structure consists of a ferromagnetically-arranged c-components and an antiferromagnetically-arranged a-components in a unit cell in which magnetic Fe3+ ions are located at (0,0,0) and (0.5, 0.5, 0). The number of bases N is 2. And click "Define magnetic unit cell" button.
By clicking the "Define magnetic unit cell" button, Label, m-form symbol, x, y, z and occupancy are automatically generated from the atomic positions in the cif file and the definitinos of the magnetic unit cell. They should not be modified in this textarea.
Directions of the magnetic moments can be defined by Ma, Mb and Mc. The magnitudes of a-, b-, and c-axis components of the magnetic moments at each site are given by
\((\sum_i m_iM_{ai},\sum_i m_iM_{bi},\sum_i m_iM_{ci})\)
You are supposed to modify the magnetic structur by changing the amplitudes (overall multiplying factor) of each basis.
For instance, if the magentic structure consists of a ferromagnetically-arranged c-components and an antiferromagnetically-arranged a-components in a unit cell in which magnetic Fe3+ ions are located at (0,0,0) and (0.5, 0.5, 0). The number of bases N is 2. And click "Define magnetic unit cell" button.
#label mform x y z Occ Ma Mb Mc
#Basis1 : m1 = 2.0 muB
Fe Fe3 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 1.0000
Fe Fe3 5.0000 5.0000 0.0000 1.0000 0.0000 0.0000 1.0000
#Basis2 : m2 = 0.5 muB
Fe Fe3 0.0000 0.0000 0.0000 1.0000 1.0000 0.0000 0.0000
Fe Fe3 5.0000 5.0000 0.0000 1.0000 -1.0000 0.0000 0.0000
By clicking the "Define magnetic unit cell" button, Label, m-form symbol, x, y, z and occupancy are automatically generated from the atomic positions in the cif file and the definitinos of the magnetic unit cell. They should not be modified in this textarea.
Directions of the magnetic moments can be defined by Ma, Mb and Mc. The magnitudes of a-, b-, and c-axis components of the magnetic moments at each site are given by
\((\sum_i m_iM_{ai},\sum_i m_iM_{bi},\sum_i m_iM_{ci})\)
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(CM)/Definition" tab.
HKL input
[Ex.) 0.5 0.5 0 (separated by space(s))]
For fractional numbers such as 1/3, write up to 4 decimal digits [Ex.) 0.3333 0.3333 0]
Conditions
: Qmax = Å-1: 2θmax = deg, Ei= meV
: 2θmax = deg, λi= Å
Results
Download the calculated structure factors as a text file.
Definitions
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(CM)/Definition" tab.
Scattering plane
- \(\tau_1= \) (H1,K1,L1): (,,). The 1st vector to define the scattering plane.
- \(\tau_2= \) (H2,K2,L2): (,,). The 2nd vector to define the scattering plane, and should be independent of \(\tau_1\).
- \(\tau_{\rm ofst}= \) (Hofst,Kofst,Lofst): (,,). (Optional) The offset vector (out-of-plane direction).
Structure factors or intensities will be calculated for the points described by \(n\tau_1+m\tau_2+\tau_{\rm ofst}\) (n and m are integers).
To calculate structure factors for commensurate magnetic reflections, please input fractional numbers for (Hi,Ki,Li) (i=1,2).
[Ex) (H1,K1,L1)=(0.3333,0.3333,0), (H2,K2,L2)=(0,0,0.5)]
To calculate structure factors for commensurate magnetic reflections, please input fractional numbers for (Hi,Ki,Li) (i=1,2).
[Ex) (H1,K1,L1)=(0.3333,0.3333,0), (H2,K2,L2)=(0,0,0.5)]
Conditions
: Qmax = Å-1. (Intensities will be calculated to be \(|F_{hkl}|^2\)): 2θmax = deg, Ei= meV. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
: 2θmax = deg, λi= Å. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
Intensity Map
Download the intensity map of the nuclear reflections as a png file. |
Radius for the strongest reflection on the scattering plane: pixels. Show indices. (only for nuclear reflections)
|
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(CM)/Definition" tab.
Input data
Scale factor
s = Data type
([Option] λi= Å for extinction correction. )(Ei= meV. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
(λi= Å. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
Option: Extinction correction (λ or Ei needs to be specified. The scattering path lengths (cm) for each reflection need to be added after Fobs_err or Iobs_err.)
- Extinction parameter : E0=.
- d-value of the monochromator : dmono=
Observed data
Load from file: - Paste the observed data directly into the textarea below, or use the "Load from file" option.
- Lines starting with "#" are ignored.
Optimize
m1 (\(\mu_B\) unit) | 1.0 |
m2 (\(\mu_B\) unit) | 1.0 |
m3 (\(\mu_B\) unit) | 1.0 |
m4 (\(\mu_B\) unit) | 1.0 |
m5 (\(\mu_B\) unit) | 1.0 |
m6 (\(\mu_B\) unit) | 1.0 |
m7 (\(\mu_B\) unit) | 1.0 |
m8 (\(\mu_B\) unit) | 1.0 |
m9 (\(\mu_B\) unit) | 1.0 |
m10 (\(\mu_B\) unit) | 1.0 |
Results
Calculation log
Download fitting log as a text file.
Fcal-Fobs data
Download Fcal-Fobs data as a text file.
Fcal-Fobs plot
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Scale factor = R-factors
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Note that the magnetic moments in "Definition" tab are also updated. Hereafter the updated magentic moments will be used in "Calculation" tab.
Definitions
- Scale factor s : \(|F_{obs}|^2=s|F_{cal}|^2\) (without extinction correction).
- Extinction correction factor Y : \(|F_{obs}|^2=sY|F_{cal}|^2\).
- \(Y=1/\sqrt{1+P|F_{cal}|^2E_0}\).
- \(P=2\bar{t}(1+\cos2\theta_{M}\cos^4 2\theta)/[\sin 2\theta(1+\cos 2\theta_{M}\cos^2 2\theta)]\).
- \(\bar{t}=\lambda^3l_{sc}10^4/V^2\).
- \(E_0\) : Extinction parameter (user input).
- \(2\theta_M\) : Scattering angle of the monochromator.
- \(l_{sc}\) : Scattering path length.
- \(V\) : Volume of the unit cell.
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(CM)/Definition" tab.
Conditions
Incident neutron:
2θ range : 2θmin=, 2θmax=, d2θ=
Resolution
U=, V=, W=
(\({\rm FWHM}=\sqrt{U\tan^2\theta+V\tan\theta+W}\))
Download calculated powder diffraction profile as a text file.
Notice
Magnetic atoms are not selected. Please go to "Magnetic Atoms" tab.
Magnetic modulation vector (q-vector)
\(q_{\rm ICM}\)=(, , ) Define magnetic moments
The largest component of the magnetic moments is scaled to pixel (only for visualization). |
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Input format
Magnetic moment at an atomic site is defined by the following parameters.
[Label] [m-form symbol] [x] [y] [z] [occupancy] [M1a] [M1b] [M1c] [M2a] [M2b] [M2c] [mPhase] By clicking the "Define q-vector" button, Label, m-form symbol, x, y, z and occupancy are automatically generated from the atomic positions in the cif file and the definitinos of the magnetic unit cell. They should not be modified in this textarea. M1a, M1b, M1c, M2a, M2b and M2c are the components of the magnetic moment in \(\mu_{\rm B}\) unit. The initial values for these parameters are zero. Please change these numbers to define the magnetic structure. Specifically, the magnetic moment at the jth atom in the lth unit cell is given as follows. \(M(l+d_j)=M_1\cos(q_{\rm ICM} \cdot (l+d_j)-\phi_j)+M_2\sin(q_{\rm ICM} \cdot (l+d_j)-\phi_j)\) For example, when an Fe3+ ion localted at (0,0,0) has a proper screw-type magnetic modulation with an amplitude of 5 \(\mu_{\rm B}\) on the bc plane (i.e. the q-vector is assumed to be parallel to the a* direction), the input parameters should be Fe Fe3 0.00000 0.00000 0.00000 1.0000 0.00000 5.00000 0.00000 0.00000 0.00000 5.00000 0.00000 After defining all the magnetic moments, click "Define magentic structure" button, and check the direction and amplitudes of the magnetic moments shown by the 3D image shown in the right window. |
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(ICM)/Definition" tab.
HKL input
[Ex.) 0.234 1 0 (separated by space(s))]Conditions
: Qmax = Å-1: 2θmax = deg, Ei= meV
: 2θmax = deg, λi= Å
Results
Download the calculated structure factors as a text file.
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(ICM)/Definition" tab.
Scattering plane
- \(\tau_1= \) (H1,K1,L1): (,,). The 1st vector to define the scattering plane.
- \(\tau_2= \) (H2,K2,L2): (,,). The 2nd vector to define the scattering plane, and should be independent of \(\tau_1\).
- \(\tau_{\rm ofst}= \) (Hofst,Kofst,Lofst): (,,). (Optional) The offset vector (out-of-plane direction).
Structure factors or intensities will be calculated for the points described by \(n\tau_1+m\tau_2+\tau_{\rm ofst}+q_{\rm ICM}\) (n and m are integers).
Conditions
: Qmax = Å-1. (Intensities will be calculated to be \(|F_{hkl}|^2\)): 2θmax = deg, Ei= meV. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
: 2θmax = deg, λi= Å. (Intensities will be calculated to be \(|F_{hkl}|^2\lambda^3/\sin2\theta\))
Intensity Map
Download the intensity map of the nuclear reflections as a png file. |
Radius for the strongest reflection on the scattering plane: pixels. Show indices. (only for nuclear reflections) Show circles for nuclear reflections
|
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(ICM)/Definition" tab.
Input data
Scale factor
s =
Data type
([Option] λi= Å for extinction correction. )(Ei= meV. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
(λi= Å. Lorentz factor will be calculated by \(\lambda^3/\sin2\theta\) assuming monochromatic beam and a single crystal sample)
Option: Extinction correction (λ or Ei needs to be specified. The scattering path lengths (cm) for each reflection need to be added after Fobs_err or Iobs_err.)
- Extinction parameter : E0=.
- d-value of the monochromator : dmono=
Observed data
Load from file: - Paste the observed data directly into the textarea below, or use the "Load from file" option.
- Lines starting with "#" are ignored.
Optimize
Overall factor for the magnetic moments.Results
Fcal-Fobs dataDownload Fcal-Fobs data as a text file.
Fcal-Fobs plot |
Scale factor = R-factors
|
Updated magnetic moments
Note that the magnetic moments in "Definition" tab are also updated. Hereafter the updated magentic moments will be used in "Calculation" tab.
Definitions
- Scale factor s : \(|F_{obs}|^2=s|F_{cal}|^2\) (without extinction correction).
- Extinction correction factor Y : \(|F_{obs}|^2=sY|F_{cal}|^2\).
- \(Y=1/\sqrt{1+P|F_{cal}|^2E_0}\).
- \(P=2\bar{t}(1+\cos2\theta_{M}\cos^4 2\theta)/[\sin 2\theta(1+\cos 2\theta_{M}\cos^2 2\theta)]\).
- \(\bar{t}=\lambda^3l_{sc}10^4/V^2\).
- \(E_0\) : Extinction parameter (user input).
- \(2\theta_M\) : Scattering angle of the monochromator.
- \(l_{sc}\) : Scattering path length.
- \(V\) : Volume of the unit cell.
Notice
Magnetic structure is not defined. Please go to "Mag. Str. Factors(ICM)/Definition" tab.
Conditions
Incident neutron:
2θ range : 2θmin=, 2θmax=, d2θ=
Resolution
U=, V=, W=
(\({\rm FWHM}=\sqrt{U\tan^2\theta+V\tan\theta+W}\))
Download calculated powder diffraction profile as a text file.