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Optimized geometry, vibration (IR and Raman) spectra and nonlinear optical activity of p-nitroanilinium perchlorate molecule: A theoretical study


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Fig. 1

(a) Experimental molecular structure, (b) optimized molecular structure of p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p) level.
(a) Experimental molecular structure, (b) optimized molecular structure of p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p) level.

Fig. 2

The comparison of FT-IR and calculated IR spectra for p-nitroanilinium perchlorate.
The comparison of FT-IR and calculated IR spectra for p-nitroanilinium perchlorate.

Fig. 3

The comparison of FT-Raman and calculated Raman spectra for p-nitroanilinium perchlorate.
The comparison of FT-Raman and calculated Raman spectra for p-nitroanilinium perchlorate.

Fig. 4

Frontier molecular orbital pictures and energies for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p).
Frontier molecular orbital pictures and energies for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p).

Fig. 5

3D plot of molecular electrostatic potential (MEP) surface for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p).
3D plot of molecular electrostatic potential (MEP) surface for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p).

Fig. 6

3D plot of electrostatic surface potential (ESP) and contour plot of ESP (blue) for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p) level.
3D plot of electrostatic surface potential (ESP) and contour plot of ESP (blue) for p-nitroanilinium perchlorate obtained at B3LYP/6-311++G(d,p) level.

Fig. 7

Comparative of Mulliken atomic charges for pnitroanilinium perchlorate obtained at B3LYP and HSEH1PBE levels with 6-311++G(d,p) basis set.
Comparative of Mulliken atomic charges for pnitroanilinium perchlorate obtained at B3LYP and HSEH1PBE levels with 6-311++G(d,p) basis set.

Total static dipol moment (μ, in Debye), the mean polarizability (〈α〉, in 10−24 esu), the anisotropy of the polarizability (∆α, in 10−24 esu), the mean first-order hyperpolarizability (hμi, in 10−30 esu) for p-nitroanilinium perchlorate.

PropertyB3LYP/6-311++G(d,p)HSEH1PBE/6-311++G(d,p)
μx–4.940–4.911
μy5.2885.277
μz–0.318–0.313
µ7.2447.216
αxx26.78226.077
αyy19.72919.336
αzz11.70311.349
< α >19.40518.921
48.19346.937
βxxx–11.267–10.218
βyyy0.1770.138
βzzz0.2650.120
< β >11.27210.220
< β > (pNA)14.39 [35, 36]
< β > (Urea)0.13 [37]

The theoretical and experimental N1—H12···O2 and C2—H2···O2 interaction parameters for pnitroanilinium perchlorate.

D—H···AD—H (Å)H···A (Å)D ···A (Å)D—H···A (°)
XRDN1—H12···O20.793(14)2.242(14)2.9992(14)160.0(13)
C2—H2···O20.8292.6423.262132.7
B3LYPN1—H12···O21.0581.7182.660145.5
N1—H13···O31.0581.7182.660145.5
C2—H2···O11.0852.4133.469162.3
HSEH1PBEN1—H12···O21.0631.6622.662147.3
N1—H13···O31.0561.7142.641143.7
C2—H2···O11.0872.3383.393163.2

Second-order perturbation theory analysis of Fock matrix in NBO basic corresponding to the intermolecular bonds for p-nitroanilinium perchlorate.

Donor (i)Acceptor (j)E(2)

E(2) means energy of hyperconjugative interactions (stabilization energy).

(kcal/mol)
E(j)-E(i)

Energy difference between donor and acceptor i and j NBO orbitals.

(a.u.)
F(i,j)

F(i; j) is the Fock matrix element between i and j NBO orbitals.

(a.u.)
B3LYPHSEH1PBEB3LYPHSEH1PBEB3LYPHSEH1PBE
σ (C1-C6)σ*. (C1-C2)4.344.551.291.300.0670.069
σ (C1-C6)σ* (C5-C6)2.883.051.301.310.550.057
π (C1-C6)π* (C2-C3)17.3016.260.310.310.0660.064
π (C1-C6)π* (C4-C5)19.9918.880.300.300.0700.067
σ (C4-C5)σ* (C3-C4)4.644.911.291.300.0690.071
σ (C4-C5)σ* (C5-C6)2.562.711.291.300.0510.053
π (C4-C5)π* (C1-C6)19.1317.970.280.270.0650.063
π (C4-C5)π* (C5-C6)20.6119.610.300.290.0710.069
π (C4-C5)π* (N2-O5)24.4821.510.150.160.0590.059
LP(3) O6π* (N2-O5)164.96161.350.140.150.1390.139
LP(3) O2σ* (N1-H12)19.6113.490.620.560.1000.078
LP(3) O3σ* (N1-H13)19.6519.140.620.750.1010.109

The frontier orbital energies, electronegativity, hardness and softness for p-nitroanilinium perchlorate.

B3LYP/6-311++G(d,p)HSEH1PBE/6-311++G(d,p)
EHOMO (eV)–8.2281–8.1285
ELUMO (eV)–3.6830–3.7505
DE4.54514.3780
χ (eV)5.95555.9395
η (eV)2.27252.1890
S (eV−1)0.22000.2284

Experimental and threotical bond lengths for p-nitroanilinium perchlorate.

XRD [8]DFT
Bond Lengths (Å)B3LYPHSEH1PBE
Cl1-/O11.4355(9)1.48151.4638
Cl1-/O21.4419(9)1.53291.5138
Cl1-/O31.4420(9)1.53291.5094
Cl1-/O41.4133(9)1.46071.4441
C1-/N11.4703(13)1.46351.4518
N2-/C41.4756(15)1.48511.4747
N2-/O51.2147(15)1.22291.2134
N2-/O61.2092(14)1.22131.2119
N1-/H110.879(16)1.0581.063
N1-/H120.793(14)1.0181.016
N1-/H130.901(15)1.0581.056
C1-/C21.3601(17)1.39271.3895
C2-/C31.3762(18)1.39071.3868
C3-/C41.3713(18)1.39031.3865
C4-/C51.3588(18)1.38901.3851
C5-/C61.3812(17)1.39051.3866
C1-/C61.3661(16)1.39051.3873
C1-/C61.3661(16)1.39051.3873
C2-/H20.829(11)1.0851.087
C4-/C3-/H3121.8(9)119.866119.714
C3-/H30.926(14)1.0811.082
C5-/H50.867(12)1.0801.082
C6-/H60.926(13)1.0841.085
R20.95240.9548
Bond Angles (◦)
O2-/Cl1-/O4109.99(6)110.311110.410
O3-/Cl1-/O4110.72(6)110.312110.122
O5-/N2-/O6123.49(11)125.309125.535
O6-/N2-/C4118.43(10)117.395117.283
O5-/N2-/C4118.05(11)117.295117.181
N2-/C4-/C3118.68(11)118.993118.960
N2-/C4-/C5119.16(11)118.631118.567
C3-/C4-/C5122.14(11)122.376122.472
C4-/C5-/H5121.2(8)119.913119.743
C6-/C5-/H5120.1(8)121.543171.757
C4-/C5-/C6118.72(12)118.544118.495
C5-/C6-/C1119.37(12)119.251119.235
H6-/C6-C1118.8(8)120.906120.856
C6-/C1-/C2121.56(11)122.124122.160
C6-/C1-/N1119.53(10)119.446119.511
C2-/C1-/N1118.88(10)118.430118.329
C4-/C3-/C2118.71(12)119.101119.073
C4-/C3-/C2118.71(12)119.101119.073
H3-/C3-/C2119.4(9)121.033121.214
C3-/C2-/C1119.47(12)118.604118.566
C1-/C2-/H2123.3(8)121.075121.041
C3-/C2-/H2117.2(8)120.321120.393
C1-/N1-/H12114.7(10)113.128112.919
C1-/N1-/H11110.0(10)112.639112.793
C1-/N1-/H13110.8(10)113.127112.904
H12-/N1-/H13109.5(13)109.788110.235
H12-/N1-/H11106.0(14)109.790110.117
H13-/N1-/H11105.3(13)97.37296.811
R20.86740.8588

The selected theoretical and experimental vibration frequencies for p-nitroanilinium perchlorate.

Assignments (B3LYP/6-311++G(d,p)

Vibrational modes are based on PED and only contributions over 3 % are given.

Experimental [8]B3LYP/6-311++G(d,p)HSEH1PBE/6-311++G(d,p)
FT-IRFT-RamanScaled Freq

Scaled frequencies are in unit of cm−1.

IIR

IR infrared inten. are in unit of kmμmol−1.

IR

IR Raman activ. are in unit of Å4 μamu−1.

Scaled Freq

Scaled frequencies are in unit of cm−1.

IIR

IR infrared inten. are in unit of kmμmol−1.

IR

IR Raman activ. are in unit of Å4 μamu−1.

ν NH 843155338159.4266.00342365.2764.82
ν CH 80313531028.4628.5531209.1148.29
ν CH 81310331016.36109.6131197.2590.54
ν CH 773089309030534.1085.6530752.9986.25
ν CH 723029304954.22114.18305570.88116.42
ν N—H····O 802712270328491693.79481.9828721469.67386.53
ν N—H···O 7826462722146.0419.592700417.3768.16
ν CC 12 + β NH3 3216051640160661.9212.01164185.741.13
ν CC 10 + β NH3 2915911589229.5017.631613142.6759.71
ν NO2 431496157659.4794.531597238.1664.33
β HNH 6915391538155022.553.891579125.1625.92
β CNH 6 + β N—H···O 3714251539422.8057.07154521.123.83
β CNH 7 + β N—H···O 4313751523305.4365.261528496.2381.48
ν CC 641468147073.803.08148285.133.80
ν CC 451433143214115.250.8814245.420.63
ν NO2 44 + ν NC 13 + ν CC 1012411320289.36212.001374324.96212.03
ν CC 32 + β HCC 2613121310130847.297.08134238.252.26
β HCC 49 + β HNC 61297129812884.890.4812851.950.46
ν CC 13 + ν NC 2012031204117424.2356.56120016.7562.64
ν CC 15 + ν NC 6 + β HCC 621183118311633.235.7411678.025.15
β HCC 30113911016.843.141123443.9211.72
β HCC 22 + ν NC 1011211120107416.1866.3711026.792.14
β CCC 13 + β HCC 19111311111056117.483.63109447.1548.10
ν ClO 5 + β CNH 810771047339.256.57105831.990.52
ν ClO 7 + β CNH 81052105210320.202.7610412.642.92
β CNH 7 + γ N—H···O 329809926.140.571012353.553.20
γ CCCC 8 + γ HCCC 47 + γ HCCN 79800.190.0199425.770.56
ν ClO 38928928944330.793.379841.500.01
γ HCCH 16 + γ CCCC 15 + γ HCCC 30 + γ HCCN 169430.660.059460.060.04
γ HCCC 82 + γ CCCC 1085084993.650.43871270.070.082
γ CCCC 14 + β NO2 3486386484137.2621.7286036.3124.98
γ HCCC 40 + γ NCCH 22 + γ CCNH 9831809116.940.4983833.150.45
γ HCCC 25 + γ NCCH 1282279483.550.31813129.1950.19
γ CCCC 4279279377731.607.768052.230.49
γ NO2 51739741749104.2451.8578818.513.15
γ CCNO 42 + γ CCCC 197227044.381.687149.491.56
γ CCNO 24 + γ CCCC 2068066218.380.0367015.980.09
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Materials Sciences, other, Nanomaterials, Functional and Smart Materials, Materials Characterization and Properties