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All results from a given calculation for NH2CH2CH2COOH (β–alanine)

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-323.722519
Energy at 298.15K-323.732409
Nuclear repulsion energy247.939923
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3626 3475 9.93      
2 A 3536 3388 1.73      
3 A 3231 3097 808.62      
4 A 3157 3026 6.19      
5 A 3116 2986 18.68      
6 A 3061 2933 5.67      
7 A 3046 2919 60.70      
8 A 1849 1772 450.50      
9 A 1642 1574 29.85      
10 A 1509 1446 203.80      
11 A 1497 1434 39.63      
12 A 1442 1382 8.95      
13 A 1410 1351 10.42      
14 A 1366 1309 17.30      
15 A 1310 1255 8.35      
16 A 1293 1239 24.07      
17 A 1256 1204 53.25      
18 A 1147 1099 7.77      
19 A 1099 1053 6.31      
20 A 1025 982 17.12      
21 A 1010 968 78.10      
22 A 967 927 4.72      
23 A 918 880 26.84      
24 A 874 837 38.87      
25 A 820 786 23.28      
26 A 698 669 9.25      
27 A 579 555 2.38      
28 A 491 471 9.41      
29 A 410 393 11.73      
30 A 334 320 6.61      
31 A 286 274 10.83      
32 A 202 193 5.19      
33 A 89 85 0.61      

Unscaled Zero Point Vibrational Energy (zpe) 24147.6 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 23140.6 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/aug-cc-pVDZ
ABC
0.24132 0.08419 0.06657

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.898 0.577 0.142
C2 1.362 -0.696 -0.359
C3 0.011 -0.994 0.286
C4 -1.079 0.038 0.024
O5 -0.672 1.309 -0.052
O6 -2.242 -0.266 -0.086
H7 2.675 0.899 -0.423
H8 2.242 0.477 1.093
H9 2.043 -1.544 -0.189
H10 1.235 -0.596 -1.444
H11 -0.373 -1.960 -0.058
H12 0.128 -1.072 1.378
H13 0.316 1.328 0.049

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46932.46023.02812.67984.23081.01391.01572.15132.08133.41082.71661.7539
C21.46931.52672.57742.87263.63922.06762.06341.10061.09752.16742.16382.3142
C32.46021.52671.52342.42622.39603.34532.79192.15802.15701.09451.10142.3538
C43.02812.57741.52341.33721.20643.87823.51623.50602.81302.12072.12631.9002
O52.67982.87262.42621.33722.22363.39313.23953.94073.03393.28312.89040.9935
O64.23083.63922.39601.20642.22365.06454.69484.47193.74712.52282.89953.0162
H71.01392.06763.34533.87823.39315.06451.63252.53482.31354.19553.69082.4443
H81.01572.06342.79193.51623.23954.69481.63252.40152.93283.75492.63622.3497
H92.15131.10062.15803.50603.94074.47192.53482.40151.76852.45432.51913.3592
H102.08131.09752.15702.81303.03393.74712.31352.93281.76852.52393.06932.6028
H113.41082.16741.09452.12073.28312.52284.19553.75492.45432.52391.76133.3609
H122.71662.16381.10142.12632.89042.89953.69082.63622.51913.06931.76132.7492
H131.75392.31422.35381.90020.99353.01622.44432.34973.35922.60283.36092.7492

picture of β–alanine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 110.386 N1 C2 H9 112.890
N1 C2 H10 107.473 C2 N1 H7 111.419
C2 N1 H8 110.954 C2 C3 C4 115.348
C2 C3 H11 110.466 C2 C3 H12 109.782
C3 C2 H9 109.370 C3 C2 H10 109.476
C3 C4 O5 115.867 C3 C4 O6 122.310
C4 C3 H11 107.064 C4 C3 H12 107.110
C4 O5 H13 108.329 O5 C4 O6 121.812
H7 N1 H8 107.091 H9 C2 H10 107.137
H11 C3 H12 106.662
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.483      
2 C 0.831      
3 C 0.370      
4 C 0.715      
5 O -0.515      
6 O -0.570      
7 H 0.018      
8 H 0.068      
9 H -0.188      
10 H -0.310      
11 H -0.148      
12 H -0.104      
13 H 0.316      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.585 -1.285 0.568 6.733
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.975 1.570 -0.329
y 1.570 -37.627 0.053
z -0.329 0.053 -33.787
Traceless
 xyz
x -4.268 1.570 -0.329
y 1.570 -0.746 0.053
z -0.329 0.053 5.015
Polar
3z2-r210.029
x2-y2-2.348
xy1.570
xz-0.329
yz0.053


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.698 0.323 0.108
y 0.323 8.044 -0.015
z 0.108 -0.015 6.491


<r2> (average value of r2) Å2
<r2> 171.346
(<r2>)1/2 13.090