franta_2015b#
D. Franta, D. Nečas, I. Ohlídal and A. Giglia, “Dispersion model for optical thin films applicable in wide spectral range”, Proc. SPIE 9628, 96281U (2015)
Source record · Catalogue · Review register
DOI: 10.1117/12.2190104
Source kind: fit
Recorded technique: The universal dispersion model (UDM) fitted to multi-instrument ellipsometry (Woollam IR-VASE 0.037-0.8 eV; Jobin Yvon UVISEL 0.6-6.5 eV and UVISEL2 VUV 0.6-8.7 eV) and spectrophotometry (Bruker Vertex 80v FIR 80-680 and MIR 370-7500 cm-1; Perkin Elmer Lambda 1050 NIR and UV-VIS; McPherson VUVAS 2000 3.3-10.8 eV; Elettra BEAR 9-50 eV for MgF2 and SiO2) of six evaporated films on silicon (Leybold SYRUSpro DUV, Meopta samples): MgF2 X2935, SiO2 X2551, Al2O3 X2890, HfO2 X2194, Ta2O5 X2656, TiO2 X2801 (Tables 1-3, pp. 2-3).
Materials in structured entries: Al2O3_amorphous, MgF2, SiO2
Dataset quantities: extinction_coefficient, refractive_index
Contents: 12 datasets; 3 formulas.
Curation notes#
Proceedings pages 96281U-1 to -12 = PDF pages 1-12, cited below as p. N. Identity checked against the first page. This is the only paper of the set that prints the complete analytic UDM of 2015 (every term’s imaginary part, real part and normalisation); franta_2015 (Appl. Opt., the hafnia paper) points to other papers for several of these. The films’ parameters are not printed (‘will be presented elsewhere’, p. 8), and n, k are figures only (Figs. 6-12); for three films the authors’ newAD2 site publishes the parameter file and the computed n, k table under this citation, recorded here as datasets and formulas.
UDM EQUATION MAP (p. = PDF page). Eq. (1), p. 2: eps = 1 + N_vc eps0_vc + N_vx eps0_vx + N_ut eps0_ut + sum_p N_loc,p eps0_loc,p + sum_p N_ph,p eps0_ph,p. Eq. (2), p. 3: F_j = N_j eps0_i,j E, J_j = N_j eps0_i,j E^2. Eq. (3): normalisation int_0^inf eps0_i,j E dE = 1 (so every N_j is a transition strength in eV^2). - IBT, symmetric term vc0 (p. 3-4): Eq. (4) J_vc0 = (N_vc0/C_N)(E - E_g)^2 (E_h - E)^2 Pi_{Eg,Eh}(E); Eq. (5) C_N = (E_h^2 - E_g^2)[(E_h^2 + E_g^2)/12 - 2 E_g E_h/3] + E_g^2 E_h^2 ln(E_h/E_g); Eq. (6) Pi the unit box; Eq. (7) eps0_i = (E - E_g)^2 (E_h - E)^2 Pi/(C_N E^2); Eqs. (8)-(12) eps0_r = [a ln|(E_h - E)/(E_g - E)| + b ln|(E_h + E)/(E_g + E)| + c]/(pi C_N E^2), a = y - x, b = y + x, x = 2E[E_h(E_g^2 + E^2) + E_g(E_h^2 + E^2)], y = E^2(E_h^2 + E_g^2 + 4 E_g E_h + E^2) + E_g^2 E_h^2, c = -2 E_g^2 E_h^2 ln(E_h/E_g) - 3(E_h^2 - E_g^2) E^2. - EXCITONS (Lorentz-modified IBT), p. 4-5: Eq. (13) J_ex = N_ex (E - E_g)^2 (E_h - E)^2/(C_N [(E - E_c)^2 + B_c^2]) Pi; Eq. (14) eps0_i; Eq. (15) eps0_r (same form as Eq. (8), labelled ‘eps0_r,vc’ in print); Eqs. (16)-(25) the modified C_N, a, b, c, d, e, delta, eta and alpha = E_c^2 + B_c^2, beta = E_g + E_h, gamma = E_g^2 + E_h^2, A (two arctangents), L (a log ratio). Combination Eq. (26), p. 5: eps0_vc = (1/C_N)[A_0 eps0_vc0 + sum_p A_p eps0_ex,p] with C_N = sum_p A_p (Eq. (27)); one A fixed. - HET (vx), p. 5-6: Eq. (28) J_vx = N_vx 3 E_xi (E - E_xi)^2/E^3 Pi_{E_xi,inf}(|E|), E_xi = E_x + E_g/2; Eq. (29) eps0_i = 3 E_xi (E - E_xi)^2 Pi/E^5; Eqs. (30)-(31) eps0_r = (3 E_xi/(pi E^2))[a ln|1 - E/E_xi| + b ln|1 + E/E_xi| - 2/(3 E_xi) - 2 E_xi/E^2], a = -(E_xi - E)^2/E^3, b = (E_xi + E)^2/E^3. - URBACH TAIL (ut), p. 6-7: Eq. (32) the four-piece JDOS (exp((|E| - E_g)/E_u) on (E_g/2, E_g); 1 + (E_m - E_g)/(4 E_u) - (2|E| - E_m - E_g)^2/(4 E_u (E_m - E_g)) on (E_g, E_m); exp((E_m - |E|)/E_u) on (E_m, E_m + E_g/2); minus exp(-E_g/(2 E_u)) on (E_g/2, E_m + E_g/2)), E_m = E_g/2 + E_h/2 (Eq. (33)); Eq. (34) eps0_i = {...}/(C_N E^2); Eq. (35) eps0_r with the scaled exponential integral; Eq. (36) C_N; Eqs. (37)-(39) a, b, x, y, c; Eq. (40) Ei(x) = int_-inf^x e^t/t dt and Ei~(x) = e^-x Ei(x). - LOCALISED STATES (loc), p. 7-8: Eq. (41) eps0_i,p = [exp(-(E - E_p)^2/(2 B_p^2)) - exp(-(E + E_p)^2/(2 B_p^2))]/(sqrt(2 pi) B_p E_p); Eq. (42) eps0_r,p = -(sqrt(2)/(pi B_p E_p))[D((E - E_p)/(sqrt(2) B_p)) - D((E + E_p)/(sqrt(2) B_p))]; Eq. (43) D the Dawson integral; Eq. (44) the JDOS; Eq. (45) the sum over n_loc peaks, parameters N_loc,p, E_loc,p, B_loc,p (B the rms, eV). This is the eps-broadened delta line of franta_2014 Eq. (40). - PHONONS (ph), p. 8: the same Gaussian with E_p = h c nu_p and B_p = h c beta_p/(2 sqrt(2 ln 2)) (Eq. (46): nu_p the position and beta_p the FWHM, both in cm^-1); Eq. (47) the sum over n_ph peaks. (The text’s last parameter name ‘beta_loc,p’ after Eq. (47) means beta_ph,p.)
CHECK (scratch, 2026-09-26, 30-50 digit arithmetic): for every term the printed normalisation constant equals the numerical integral of the JDOS/E (vc0, ex, ut: to 25 digits), each unit-strength term integrates to 1, and each printed real part equals the numerical Kramers-Kronig transform of its imaginary part (to 1e-22 or better, at 0.05, 3, 7.5 and 25 eV). The 2015 formulas are therefore self-consistent. They do NOT reproduce the newAD2 tables recorded below from the matching parameter files: with the .par parameters and Eqs. (1)-(47) (vc as in Eq. (26)), the phonon-region k agrees to 0.1-1 %, but n in the transparent region is 0.003 (MgF2), 0.006 (Al2O3) and 0.013 (SiO2) too high, and k in the Urbach region is 2.5-2.6 times the table’s (Al2O3 at 6.31 eV: 0.0156 against 0.00619; MgF2 at 6.31 eV: 3.1e-4 against 1.2e-4). The alternative exciton convention of franta_2015 Eq. (16) is worse (n off by 0.02-0.06). The newAD2 program behind the published tables evidently implements a later form of the interband and Urbach terms (Franta, Vohanka and Cermak, ‘Universal dispersion model for characterization of thin films over wide spectral range’, Springer Series in Surface Sciences 64, 31 (2018); Franta et al., Thin Solid Films 631, 12 (2017); neither in the library) (TC-387).
NOT EXTRACTED: HfO2 X2194, Ta2O5 X2656 and TiO2 X2801 (figures only; no newAD2 files fetched for them); Table 1 deposition conditions (nominal thickness, substrate temperature, rate): MgF2 120 nm, 300 C, 1 nm/s; SiO2 800 nm, 300 C, 1 nm/s; Al2O3 120 nm, 150 C, 0.5 nm/s; HfO2 120 nm, 150 C, 0.5 nm/s; Ta2O5 200 nm, 25 C, 0.25 nm/s; TiO2 100 nm, 150 C, 0.3 nm/s (p. 2). The SiO2 X2551 film is also modelled in franta_2016 (Proc. SPIE 9890, 2016) with a later parameter set: the two are different fits of the same sample.
Recorded bibliographic identity status: VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
franta_2015b/X2551_n_fit#
{
"id": "X2551_n_fit",
"material": "SiO2",
"file": "SiO2/franta_2015b__X2551_n_fit.csv",
"table": "data/SiO2-X2551-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
amorphous SiO2 film, 800 nm nominal (Table 1: 300 C, 1 nm/s), sample X2551. newAD2 table SiO2-X2551-SPIE9628.Enk (attached to the paper in the library), the UDM of SiO2-X2551-SPIE9628.par evaluated from 0.01 eV to 50 eV, the fitted range (80 cm-1 to 50 eV): 3699 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2551_n_extrapolated#
{
"id": "X2551_n_extrapolated",
"material": "SiO2",
"file": "SiO2/franta_2015b__X2551_n_extrapolated.csv",
"table": "data/SiO2-X2551-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
amorphous SiO2 film, 800 nm nominal (Table 1: 300 C, 1 nm/s), sample X2551. Rows of SiO2-X2551-SPIE9628.Enk above 50 eV, beyond the fitted range: the model’s extrapolation (302 rows), kept for the record, not for use.
franta_2015b/X2551_k_fit#
{
"id": "X2551_k_fit",
"material": "SiO2",
"file": "SiO2/franta_2015b__X2551_k_fit.csv",
"table": "data/SiO2-X2551-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
amorphous SiO2 film, 800 nm nominal (Table 1: 300 C, 1 nm/s), sample X2551. newAD2 table SiO2-X2551-SPIE9628.Enk (attached to the paper in the library), the UDM of SiO2-X2551-SPIE9628.par evaluated from 0.01 eV to 50 eV, the fitted range (80 cm-1 to 50 eV): 3699 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2551_k_extrapolated#
{
"id": "X2551_k_extrapolated",
"material": "SiO2",
"file": "SiO2/franta_2015b__X2551_k_extrapolated.csv",
"table": "data/SiO2-X2551-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
amorphous SiO2 film, 800 nm nominal (Table 1: 300 C, 1 nm/s), sample X2551. Rows of SiO2-X2551-SPIE9628.Enk above 50 eV, beyond the fitted range: the model’s extrapolation (302 rows), kept for the record, not for use.
franta_2015b/X2935_n_fit#
{
"id": "X2935_n_fit",
"material": "MgF2",
"file": "MgF2/franta_2015b__X2935_n_fit.csv",
"table": "data/MgF2-X2935-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
polycrystalline MgF2 film, 120 nm nominal (Table 1: 300 C, 1 nm/s), sample X2935; treated as isotropic (no axis). newAD2 table MgF2-X2935-SPIE9628.Enk (attached to the paper in the library), the UDM of MgF2-X2935-SPIE9628.par evaluated from 0.01 eV to 50 eV, the fitted range (80 cm-1 to 50 eV): 3699 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2935_n_extrapolated#
{
"id": "X2935_n_extrapolated",
"material": "MgF2",
"file": "MgF2/franta_2015b__X2935_n_extrapolated.csv",
"table": "data/MgF2-X2935-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
polycrystalline MgF2 film, 120 nm nominal (Table 1: 300 C, 1 nm/s), sample X2935; treated as isotropic (no axis). Rows of MgF2-X2935-SPIE9628.Enk above 50 eV, beyond the fitted range: the model’s extrapolation (302 rows), kept for the record, not for use.
franta_2015b/X2935_k_fit#
{
"id": "X2935_k_fit",
"material": "MgF2",
"file": "MgF2/franta_2015b__X2935_k_fit.csv",
"table": "data/MgF2-X2935-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
polycrystalline MgF2 film, 120 nm nominal (Table 1: 300 C, 1 nm/s), sample X2935; treated as isotropic (no axis). newAD2 table MgF2-X2935-SPIE9628.Enk (attached to the paper in the library), the UDM of MgF2-X2935-SPIE9628.par evaluated from 0.01 eV to 50 eV, the fitted range (80 cm-1 to 50 eV): 3699 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2935_k_extrapolated#
{
"id": "X2935_k_extrapolated",
"material": "MgF2",
"file": "MgF2/franta_2015b__X2935_k_extrapolated.csv",
"table": "data/MgF2-X2935-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
polycrystalline MgF2 film, 120 nm nominal (Table 1: 300 C, 1 nm/s), sample X2935; treated as isotropic (no axis). Rows of MgF2-X2935-SPIE9628.Enk above 50 eV, beyond the fitted range: the model’s extrapolation (302 rows), kept for the record, not for use.
franta_2015b/X2890_n_fit#
{
"id": "X2890_n_fit",
"material": "Al2O3_amorphous",
"file": "Al2O3_amorphous/franta_2015b__X2890_n_fit.csv",
"table": "data/Al2O3-X2890-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
amorphous Al2O3 film, 120 nm nominal (Table 1: 150 C, 0.5 nm/s), sample X2890. newAD2 table Al2O3-X2890-SPIE9628.Enk (attached to the paper in the library), the UDM of Al2O3-X2890-SPIE9628.par evaluated from 0.01 eV to 10.8 eV, the fitted range (80 cm-1 to 10.8 eV): 3034 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2890_n_extrapolated#
{
"id": "X2890_n_extrapolated",
"material": "Al2O3_amorphous",
"file": "Al2O3_amorphous/franta_2015b__X2890_n_extrapolated.csv",
"table": "data/Al2O3-X2890-SPIE9628.Enk",
"quantity": "refractive_index",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
amorphous Al2O3 film, 120 nm nominal (Table 1: 150 C, 0.5 nm/s), sample X2890. Rows of Al2O3-X2890-SPIE9628.Enk above 10.8 eV, beyond the fitted range: the model’s extrapolation (967 rows), kept for the record, not for use.
franta_2015b/X2890_k_fit#
{
"id": "X2890_k_fit",
"material": "Al2O3_amorphous",
"file": "Al2O3_amorphous/franta_2015b__X2890_k_fit.csv",
"table": "data/Al2O3-X2890-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "primary",
"parameters": {
"form": "film"
}
}
amorphous Al2O3 film, 120 nm nominal (Table 1: 150 C, 0.5 nm/s), sample X2890. newAD2 table Al2O3-X2890-SPIE9628.Enk (attached to the paper in the library), the UDM of Al2O3-X2890-SPIE9628.par evaluated from 0.01 eV to 10.8 eV, the fitted range (80 cm-1 to 10.8 eV): 3034 rows. Model values, not measurements; uncertainty inside the measured range ‘of the order of 1e-3-1e-4’ (p. 8). Does not follow from the paper’s printed formulas (TC-387).
franta_2015b/X2890_k_extrapolated#
{
"id": "X2890_k_extrapolated",
"material": "Al2O3_amorphous",
"file": "Al2O3_amorphous/franta_2015b__X2890_k_extrapolated.csv",
"table": "data/Al2O3-X2890-SPIE9628.Enk",
"quantity": "extinction_coefficient",
"abscissa_unit": "eV",
"use": "excluded",
"parameters": {
"form": "film"
}
}
amorphous Al2O3 film, 120 nm nominal (Table 1: 150 C, 0.5 nm/s), sample X2890. Rows of Al2O3-X2890-SPIE9628.Enk above 10.8 eV, beyond the fitted range: the model’s extrapolation (967 rows), kept for the record, not for use.
Formulas#
franta_2015b/udm_SiO2_X2551#
{
"id": "udm_SiO2_X2551",
"material": "SiO2",
"equation": "Eqs. (1)-(47), pp. 2-8",
"printed": "UDM, 'he:ex=7:ut:loc=2:ph=32' (newAD2 parameter file)",
"variable": "E: photon energy (eV); phonon nu and beta in cm^-1",
"check": "Evaluated with the printed Eqs. (1)-(47): does not reproduce the file's .Enk table (n high by ~0.013 in the transparent range; source notes, TC-387).",
"terms": {
"attributes": "he:ex=7:ut:loc=2:ph=32",
"Nvc": "387.0972686773562",
"Eg": "7.882322656262375",
"Eh": "44.40960619300007",
"A0": "1",
"Aex1": "0.4160875002485731",
"Eex1": "9.892037557477799",
"Bex1": "0.3726946256396377",
"Aex2": "0.5604581634636584",
"Eex2": "10.26835617944472",
"Bex2": "0.2312840781087904",
"Aex3": "2.57018885041731",
"Eex3": "11.44035934062694",
"Bex3": "1.093501820342207",
"Aex4": "1.621129614148703",
"Eex4": "13.620930699198",
"Bex4": "1.107705915145352",
"Aex5": "3.136933886120323",
"Eex5": "16.38290924047353",
"Bex5": "2.035460564516793",
"Aex6": "2.603114901093324",
"Eex6": "19.55193558596487",
"Bex6": "3.757046026587071",
"Aex7": "1.300603695958311",
"Eex7": "28.6710936345947",
"Bex7": "8.751166865315776",
"Nvx": "796.2358201899157",
"Ex": "21.94427907865534",
"Nut": "29.35954663507628",
"Eu": "0.005887065571900201",
"Nloc1": "0.01671128178193964",
"Eloc1": "5.81347690029251",
"Bloc1": "0.9568593983154097",
"Nloc2": "0.2418864945881958",
"Eloc2": "7.63119831760786",
"Bloc2": "0.378053686017156",
"Nph1": "0.001023690363758248",
"nuph1": "397.0496011734074",
"betaph1": "169.7250936754401",
"Nph2": "0.001675026617641783",
"nuph2": "439.9554355714358",
"betaph2": "85.66217430991833",
"Nph3": "0.0006583452711119842",
"nuph3": "446.6677790717706",
"betaph3": "40.53083129401929",
"Nph4": "0.0002160427972961515",
"nuph4": "461.6443402264973",
"betaph4": "29.97159833763476",
"Nph5": "0.0003572015531351938",
"nuph5": "570.6801836956646",
"betaph5": "124.8727016875374",
"Nph6": "0.001230334140473587",
"nuph6": "719.9967404650928",
"betaph6": "273.5290882738483",
"Nph7": "0.0004982628923336558",
"nuph7": "803.4138834223226",
"betaph7": "50.19566494100737",
"Nph8": "0.0004022681556277986",
"nuph8": "839.3489690313933",
"betaph8": "51.34217277898914",
"Nph9": "0.000298733217723795",
"nuph9": "971.8023909787976",
"betaph9": "77.62518221781481",
"Nph10": "0.0100369994593413",
"nuph10": "1039.69597849699",
"betaph10": "74.6945005328604",
"Nph11": "0.001886905232144875",
"nuph11": "1076.597165367401",
"betaph11": "42.81916601373077",
"Nph12": "0.0009494596782664023",
"nuph12": "1123.491475761599",
"betaph12": "70.31317358917136",
"Nph13": "0.001942287482487412",
"nuph13": "1177.339307853315",
"betaph13": "117.8981878697167",
"Nph14": "6.983227060611237e-06",
"nuph14": "1302.274639084334",
"betaph14": "28.44251430494614",
"Nph15": "2.090598513131821e-05",
"nuph15": "1328.523164475826",
"betaph15": "49.348913611888",
"Nph16": "4.710312762026848e-05",
"nuph16": "1374.412061904747",
"betaph16": "81.28522585208384",
"Nph17": "3.518581301197593e-05",
"nuph17": "1440.274247074176",
"betaph17": "128.0534731873945",
"Nph18": "3.450795432163338e-06",
"nuph18": "1631.997815517803",
"betaph18": "59.63381406293305",
"Nph19": "0.0001494104727060083",
"nuph19": "1634.099508730862",
"betaph19": "311.1452172120654",
"Nph20": "5.500214703296675e-05",
"nuph20": "1854.467924273633",
"betaph20": "125.1324464619285",
"Nph21": "4.00758807317865e-05",
"nuph21": "1980.448419318967",
"betaph21": "135.8270777082061",
"Nph22": "2.330861055581444e-06",
"nuph22": "2210.526698197104",
"betaph22": "194.9335348603728",
"Nph23": "2.404178017599008e-06",
"nuph23": "2267.655065650962",
"betaph23": "57.21418009990703",
"Nph24": "3.89222519693534e-07",
"nuph24": "2852.346229760636",
"betaph24": "15.21523166589576",
"Nph25": "3.110725768058313e-06",
"nuph25": "2899.72870955264",
"betaph25": "153.2888665709329",
"Nph26": "1.487538382870773e-06",
"nuph26": "2921.714858283034",
"betaph26": "28.55086396093666",
"Nph27": "9.028139299580186e-07",
"nuph27": "2962.712240786213",
"betaph27": "21.31713543889981",
"Nph28": "5.236506108984562e-05",
"nuph28": "3391.996162862696",
"betaph28": "687.3363797008792",
"Nph29": "7.54951508899818e-07",
"nuph29": "3406.909349557732",
"betaph29": "138.9930420817032",
"Nph30": "9.00144280222464e-06",
"nuph30": "3558.317632445434",
"betaph30": "124.002764275552",
"Nph31": "9.897693053163817e-06",
"nuph31": "3625.245608213572",
"betaph31": "89.68619393667701",
"Nph32": "7.945571500340437e-06",
"nuph32": "3676.156089805581",
"betaph32": "63.96085892960325"
}
}
Amorphous SiO2 film X2551 (800 nm nominal), fitted range 80 cm-1 to 50 eV (site). Parameters are in the file, not in the paper: 7 excitonic terms, Urbach tail (E_u = 0.0059 eV), 2 localised Gaussians, 32 phonon Gaussians.
franta_2015b/udm_MgF2_X2935#
{
"id": "udm_MgF2_X2935",
"material": "MgF2",
"equation": "Eqs. (1)-(47), pp. 2-8",
"printed": "UDM, 'he:ex=16:ut:ph=15' (newAD2 parameter file)",
"variable": "E: photon energy (eV); phonon nu and beta in cm^-1",
"check": "Evaluated with the printed Eqs. (1)-(47): does not reproduce the file's .Enk table (n high by ~0.003; Urbach-region k 2.6 times the table's; source notes, TC-387).",
"terms": {
"attributes": "he:ex=16:ut:ph=15",
"Nvc": "421.7774832573862",
"Eg": "6.336141970986455",
"Eh": "43.538060822207",
"A0": "1",
"Aex1": "0.3181916151525701",
"Eex1": "8.084769582420174",
"Bex1": "36.81817636248764",
"Aex2": "1",
"Eex2": "11.56779836723872",
"Bex2": "0.21670965",
"Aex3": "0.4252216291994202",
"Eex3": "11.93417400073886",
"Bex3": "0.2504796060723044",
"Aex4": "0.2204180578373925",
"Eex4": "12.66399507613335",
"Bex4": "0.3571384850837556",
"Aex5": "0.7543114224593626",
"Eex5": "13.42941470210862",
"Bex5": "0.6240599151914381",
"Aex6": "1.152184850830646",
"Eex6": "14.81022029309759",
"Bex6": "0.9506518575011962",
"Aex7": "2.890601770658535",
"Eex7": "16.82768520385516",
"Bex7": "1.290190436773725",
"Aex8": "6.326928373566556",
"Eex8": "19.05224782320615",
"Bex8": "1.422391993822333",
"Aex9": "6.711694840312258",
"Eex9": "20.72928163542588",
"Bex9": "1.412333275254739",
"Aex10": "4.046228744924113",
"Eex10": "22.42962467641491",
"Bex10": "1.144500850986274",
"Aex11": "0.5978302737172375",
"Eex11": "24.5633762506953",
"Bex11": "0.8769182266588071",
"Aex12": "1.385563975589108",
"Eex12": "27.30592701328687",
"Bex12": "1.624537024557585",
"Aex13": "0.5739214997223352",
"Eex13": "28.96639677280508",
"Bex13": "0.9351530636226799",
"Aex14": "0.733648352893766",
"Eex14": "30.4652314094884",
"Bex14": "1.111162773204926",
"Aex15": "0.5585972575581108",
"Eex15": "34.85860804454663",
"Bex15": "1.162437328233622",
"Aex16": "5.384616350511947",
"Eex16": "38.37376522330973",
"Bex16": "3.83326942574449",
"Nvx": "862.0408052215957",
"Ex": "15",
"Nut": "4.975598339428807",
"Eu": "0.05",
"Nph1": "0.0004935914046566674",
"nuph1": "247.8067526220517",
"betaph1": "12.96121438491692",
"Nph2": "0.000592801589599346",
"nuph2": "255.5002837121918",
"betaph2": "26.28468096052899",
"Nph3": "0.0007806799774756681",
"nuph3": "257.9589191551741",
"betaph3": "72.02068312508607",
"Nph4": "0.0001426951018861891",
"nuph4": "278.4786707944083",
"betaph4": "25.28442324585934",
"Nph5": "1.372370172107797e-05",
"nuph5": "372.2183579505141",
"betaph5": "3958.211363165906",
"Nph6": "0.0001587986355343355",
"nuph6": "387.1813966657387",
"betaph6": "13.45970309728183",
"Nph7": "0.001020677442494165",
"nuph7": "397.7593542499901",
"betaph7": "18.26029926457918",
"Nph8": "0.002217369599333606",
"nuph8": "407.728545097646",
"betaph8": "180.3404226488878",
"Nph9": "0.003198505516790093",
"nuph9": "417.045076370351",
"betaph9": "63.25460358068452",
"Nph10": "8.082230642092172e-05",
"nuph10": "425.3110305917111",
"betaph10": "12.79961728202788",
"Nph11": "0.0006852602611280262",
"nuph11": "442.4930145014584",
"betaph11": "21.64874218945028",
"Nph12": "0.0004794229024614269",
"nuph12": "619.6884963268037",
"betaph12": "365.5330375526644",
"Nph13": "7.00674747650641e-06",
"nuph13": "1083.959430240926",
"betaph13": "15.20844679815252",
"Nph14": "8.58738476109062e-05",
"nuph14": "1313.675350389433",
"betaph14": "195.6481231065089",
"Nph15": "7.78485812759561e-05",
"nuph15": "1558.599983717488",
"betaph15": "125.2316226179656"
}
}
Polycrystalline MgF2 film X2935 (120 nm nominal), treated as isotropic; fitted range 80 cm-1 to 50 eV (site). 16 excitonic terms, Urbach tail, 15 phonon Gaussians.
franta_2015b/udm_Al2O3_X2890#
{
"id": "udm_Al2O3_X2890",
"material": "Al2O3_amorphous",
"equation": "Eqs. (1)-(47), pp. 2-8",
"printed": "UDM, 'he:ex=2:ut:ph=3' (newAD2 parameter file)",
"variable": "E: photon energy (eV); phonon nu and beta in cm^-1",
"check": "Evaluated with the printed Eqs. (1)-(47): does not reproduce the file's .Enk table (n high by ~0.006; Urbach-region k 2.5 times the table's); the phonon k agrees to 0.1-1 % (source notes, TC-387).",
"terms": {
"attributes": "he:ex=2:ut:ph=3",
"Nvc": "200.7079737329657",
"Eg": "6.440670810842696",
"Eh": "20",
"A0": "1",
"Aex1": "3.908212547870893",
"Eex1": "8.820638082418037",
"Bex1": "5.968735673876678",
"Aex2": "0.3887979490420408",
"Eex2": "14.93448601633383",
"Bex2": "19.01688133815503",
"Nvx": "1820.261872970633",
"Ex": "10",
"Nut": "7.633551762266896",
"Eu": "0.4821215284042467",
"Nph1": "0.002459830764692447",
"nuph1": "365.6818469537247",
"betaph1": "171.4025282129957",
"Nph2": "0.02153289749159287",
"nuph2": "623.3579589787735",
"betaph2": "357.6267427271984",
"Nph3": "0.0001220043007896278",
"nuph3": "1076.222882049581",
"betaph3": "106.7150743574498"
}
}
Amorphous Al2O3 film X2890 (120 nm nominal); fitted range 80 cm-1 to 10.8 eV (site). 2 excitonic terms, Urbach tail, 3 phonon Gaussians.
Corrections#
No dataset errata are recorded in this source record.
Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the review register for the checks and decisions.