Optical constants

Refractive index of NH₄H₂PO₄ (Ammonium dihydrogen phosphate, ADP)

Zernike et al. 1964: n(o) 0.214–1.53 µm

Data: formula 4
Range: 0.2138–1.529 µm
Temperature: 297.95 K
Optical axis: o
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.52424
Extinction coefficient k: 0

Permittivity ε₁: 2.3233
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 52.332
Chromatic dispersion dn/dλ: -0.0534854 µm⁻¹

Group index n_g: 1.55567
Group velocity dispersion: 65.5409 fs²/mm

Dispersion parameter D: -357.56 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith

import lightsmith as ls

# NH4H2PO4 (Ammonium dihydrogen phosphate, ADP): Zernike et al. 1964: n(o) 0.214–1.53 µm
nh4h2po4 = ls.fetch_refractiveindex("main", "NH4H2PO4", "Zernike-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(nh4h2po4.range_nm)  # (213.8, 1529) nm
eps = nh4h2po4.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_2472c1e3ec29/lightsmith"
nh4h2po4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(nh4h2po4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (nh4h2po4/zernike-1964-o).

# ... load nh4h2po4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=nh4h2po4)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 2.302842 + \frac{15.102464 λ^{2.0}}{λ^{2} - {400.0}^{1.0}} + \frac{0.011125165 λ^{0.0}}{λ^{2} - {0.01325366}^{1.0}}

Valid from 0.2138 to 1.529 µm.

Coefficients as stored

C_i	Value
C1	2.302842
C2	15.102464
C3	2.0
C4	400.0
C5	1.0
C6	0.011125165
C7	0.0
C8	0.01325366
C9	1.0

Comments and conditions

24.8 °C. Ordinary ray (o).

Conditions

temperature: 297.95 K
direction: o

References

F. Zernike, Jr. Refractive indices of ammonium dihydrogen phosphate and potassium dihydrogen phosphate between 2000 Å and 1.5 µ. J. Opt. Soc. Am. 54, 1215-1219 (1964). As cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009.

doi:10.1364/josa.54.001215 Refractive Indices of Ammonium Dihydrogen Phosphate and Potassium Dihydrogen Phosphate between 2000 Å and 15 μ, Journal of the Optical Society of America (1964)

Cite

Frits Zernike. Refractive Indices of Ammonium Dihydrogen Phosphate and Potassium Dihydrogen Phosphate between 2000 Å and 15 μ. Journal of the Optical Society of America, 54, 1215 (1964), doi:10.1364/josa.54.001215; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

NH4H2PO4 (Ammonium dihydrogen phosphate, ADP), Zernike et al. 1964: n(o) 0.214–1.53 µm: n and k versus wavelength
λ (µm)	n
0.2138	1.626003
0.214857	1.624546
0.215919	1.623113
0.216986	1.621705
0.218059	1.620319
0.219136	1.618956
0.22022	1.617616
0.221308	1.616297
0.222402	1.614999
0.223501	1.613723
0.224606	1.612466
0.225716	1.61123
0.226832	1.610013
0.227953	1.608815
0.22908	1.607636
0.230212	1.606475
0.23135	1.605332
0.232493	1.604207
0.233643	1.603099
0.234797	1.602008
0.235958	1.600933
0.237124	1.599874
0.238296	1.598832
0.239474	1.597805
0.240658	1.596793
0.241847	1.595797
0.243043	1.594814
0.244244	1.593847
0.245451	1.592893
0.246665	1.591954
0.247884	1.591028
0.249109	1.590115
0.25034	1.589215
0.251578	1.588329
0.252821	1.587454
0.254071	1.586593
0.255327	1.585743
0.256589	1.584905
0.257857	1.584079
0.259132	1.583265
0.260412	1.582461
0.2617	1.581669
0.262993	1.580888
0.264293	1.580118
0.265599	1.579358
0.266912	1.578608
0.268232	1.577868
0.269557	1.577139
0.27089	1.576419
0.272229	1.575709
0.273574	1.575008
0.274927	1.574317
0.276285	1.573634
0.277651	1.572961
0.279023	1.572297
0.280403	1.571641
0.281789	1.570994
0.283181	1.570355
0.284581	1.569724
0.285988	1.569102
0.287401	1.568487
0.288822	1.567881
0.29025	1.567282
0.291684	1.566691
0.293126	1.566107
0.294575	1.56553
0.296031	1.564961
0.297494	1.564399
0.298965	1.563844
0.300442	1.563296
0.301927	1.562754
0.30342	1.56222
0.304919	1.561691
0.306427	1.56117
0.307941	1.560654
0.309463	1.560145
0.310993	1.559642
0.31253	1.559145
0.314075	1.558655
0.315627	1.55817
0.317187	1.55769
0.318755	1.557217
0.320331	1.556749
0.321914	1.556287
0.323505	1.55583
0.325104	1.555378
0.326711	1.554932
0.328326	1.554491
0.329949	1.554055
0.33158	1.553624
0.333219	1.553198
0.334866	1.552777
0.336521	1.552361
0.338184	1.55195
0.339856	1.551543
0.341536	1.551141
0.343224	1.550743
0.34492	1.55035
0.346625	1.549961
0.348339	1.549577
0.35006	1.549197
0.351791	1.548821
0.35353	1.548449
0.355277	1.548081
0.357033	1.547718
0.358798	1.547358
0.360571	1.547002
0.362353	1.54665
0.364145	1.546302
0.365944	1.545958
0.367753	1.545617
0.369571	1.54528
0.371398	1.544947
0.373233	1.544617
0.375078	1.54429
0.376932	1.543967
0.378795	1.543648
0.380668	1.543331
0.382549	1.543018
0.38444	1.542709
0.38634	1.542402
0.38825	1.542099
0.390169	1.541798
0.392098	1.541501
0.394036	1.541207
0.395983	1.540915
0.397941	1.540627
0.399907	1.540341
0.401884	1.540059
0.403871	1.539779
0.405867	1.539502
0.407873	1.539227
0.409889	1.538956
0.411915	1.538687
0.413951	1.53842
0.415997	1.538156
0.418053	1.537895
0.42012	1.537636
0.422196	1.53738
0.424283	1.537126
0.42638	1.536874
0.428488	1.536625
0.430606	1.536378
0.432734	1.536133
0.434873	1.53589
0.437023	1.53565
0.439183	1.535412
0.441353	1.535176
0.443535	1.534942
0.445727	1.534711
0.44793	1.534481
0.450145	1.534254
0.45237	1.534028
0.454606	1.533804
0.456853	1.533583
0.459111	1.533363
0.46138	1.533145
0.46366	1.532929
0.465952	1.532714
0.468255	1.532502
0.47057	1.532291
0.472896	1.532082
0.475233	1.531875
0.477582	1.531669
0.479943	1.531465
0.482315	1.531263
0.484699	1.531063
0.487095	1.530863
0.489503	1.530666
0.491922	1.53047
0.494354	1.530275
0.496797	1.530082
0.499253	1.529891
0.50172	1.529701
0.5042	1.529512
0.506692	1.529325
0.509197	1.529139
0.511714	1.528954
0.514243	1.528771
0.516785	1.528589
0.519339	1.528408
0.521906	1.528229
0.524486	1.528051
0.527078	1.527874
0.529684	1.527698
0.532302	1.527523
0.534933	1.52735
0.537577	1.527177
0.540234	1.527006
0.542904	1.526836
0.545588	1.526667
0.548285	1.526499
0.550995	1.526332
0.553718	1.526166
0.556455	1.526001
0.559206	1.525837
0.56197	1.525673
0.564747	1.525511
0.567539	1.52535
0.570344	1.52519
0.573163	1.52503
0.575996	1.524871
0.578843	1.524714
0.581704	1.524557
0.58458	1.524401
0.587469	1.524245
0.590373	1.524091
0.593291	1.523937
0.596224	1.523784
0.599171	1.523631
0.602132	1.523479
0.605108	1.523328
0.608099	1.523178
0.611105	1.523028
0.614126	1.522879
0.617161	1.522731
0.620212	1.522583
0.623277	1.522436
0.626358	1.522289
0.629454	1.522143
0.632565	1.521997
0.635692	1.521852
0.638834	1.521707
0.641992	1.521563
0.645165	1.521419
0.648354	1.521276
0.651559	1.521133
0.654779	1.520991
0.658016	1.520849
0.661268	1.520708
0.664537	1.520566
0.667821	1.520425
0.671122	1.520285
0.674439	1.520145
0.677773	1.520005
0.681123	1.519865
0.68449	1.519726
0.687873	1.519587
0.691273	1.519449
0.69469	1.51931
0.698124	1.519172
0.701574	1.519034
0.705042	1.518896
0.708527	1.518758
0.712029	1.518621
0.715549	1.518483
0.719085	1.518346
0.72264	1.518209
0.726212	1.518072
0.729801	1.517935
0.733408	1.517798
0.737034	1.517662
0.740677	1.517525
0.744338	1.517388
0.748017	1.517252
0.751714	1.517115
0.75543	1.516978
0.759164	1.516842
0.762916	1.516705
0.766687	1.516568
0.770477	1.516431
0.774285	1.516294
0.778112	1.516158
0.781958	1.51602
0.785823	1.515883
0.789707	1.515746
0.793611	1.515608
0.797533	1.515471
0.801476	1.515333
0.805437	1.515195
0.809418	1.515057
0.813419	1.514918
0.81744	1.51478
0.82148	1.514641
0.82554	1.514501
0.829621	1.514362
0.833722	1.514222
0.837843	1.514082
0.841984	1.513942
0.846146	1.513801
0.850328	1.51366
0.854531	1.513518
0.858755	1.513377
0.863	1.513234
0.867265	1.513092
0.871552	1.512949
0.87586	1.512805
0.880189	1.512661
0.88454	1.512517
0.888912	1.512372
0.893306	1.512227
0.897721	1.512081
0.902158	1.511934
0.906617	1.511787
0.911099	1.51164
0.915602	1.511492
0.920128	1.511343
0.924676	1.511194
0.929246	1.511044
0.933839	1.510893
0.938455	1.510742
0.943094	1.51059
0.947755	1.510438
0.95244	1.510285
0.957148	1.510131
0.961879	1.509976
0.966633	1.509821
0.971411	1.509665
0.976213	1.509508
0.981038	1.50935
0.985887	1.509191
0.99076	1.509032
0.995657	1.508872
1.00058	1.508711
1.00552	1.508549
1.01049	1.508386
1.01549	1.508223
1.02051	1.508058
1.02555	1.507892
1.03062	1.507726
1.03572	1.507559
1.04084	1.50739
1.04598	1.507221
1.05115	1.50705
1.05635	1.506879
1.06157	1.506706
1.06681	1.506532
1.07209	1.506358
1.07739	1.506182
1.08271	1.506005
1.08806	1.505827
1.09344	1.505647
1.09885	1.505467
1.10428	1.505285
1.10974	1.505102
1.11522	1.504918
1.12073	1.504733
1.12627	1.504546
1.13184	1.504358
1.13743	1.504169
1.14306	1.503978
1.14871	1.503786
1.15438	1.503593
1.16009	1.503398
1.16582	1.503202
1.17159	1.503005
1.17738	1.502806
1.1832	1.502605
1.18905	1.502403
1.19492	1.5022
1.20083	1.501995
1.20676	1.501788
1.21273	1.50158
1.21872	1.50137
1.22475	1.501159
1.2308	1.500946
1.23688	1.500731
1.243	1.500514
1.24914	1.500296
1.25532	1.500077
1.26152	1.499855
1.26776	1.499632
1.27402	1.499406
1.28032	1.499179
1.28665	1.498951
1.29301	1.49872
1.2994	1.498487
1.30582	1.498253
1.31228	1.498016
1.31876	1.497778
1.32528	1.497537
1.33183	1.497295
1.33842	1.49705
1.34503	1.496804
1.35168	1.496555
1.35836	1.496304
1.36507	1.496051
1.37182	1.495796
1.3786	1.495539
1.38542	1.495279
1.39226	1.495018
1.39915	1.494754
1.40606	1.494487
1.41301	1.494219
1.42	1.493947
1.42702	1.493674
1.43407	1.493398
1.44116	1.49312
1.44828	1.492839
1.45544	1.492556
1.46263	1.49227
1.46986	1.491981
1.47713	1.49169
1.48443	1.491397
1.49177	1.4911
1.49914	1.490801
1.50655	1.490499
1.514	1.490195
1.52148	1.489888
1.529	1.489577

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

NH₄H₂PO₄ (Ammonium dihydrogen phosphate, ADP): all datasets

About NH4H2PO4 (Ammonium dihydrogen phosphate, ADP)

Ammonium dihydrogen phosphate (NH₄H₂PO₄), commonly known as ADP, is a white, crystalline solid that readily dissolves in water. In the realm of optics, ADP crystals have been employed for various applications due to their nonlinear optical properties. These crystals are particularly valuable for frequency doubling of laser light, especially in the ultraviolet range. ADP crystals exhibit birefringence, which makes them suitable for modulating light and serving as Pockels cells. Additionally, these crystals are used in optical parametric oscillators. Beyond optics, ADP is used as a fertilizer, given its high phosphate content. It also serves as a component in some fire extinguishers and is involved in various biological processes as a source of phosphorus and nitrogen.

Monoammonium phosphate - Wikipedia

More about NH4H2PO4 (Ammonium dihydrogen phosphate, ADP) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/NH4H2PO4/nk/Zernike-o.yml
ID: ds_2472c1e3ec29
API: /v1/datasets/ds_2472c1e3ec29

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