Uploaded by stefano papadopoulos

NMR lecture

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NMR Spectroscopy

Applications

Drug design

MRI

Food quality

Metabonomics Structural biology

NMR Spectroscopy

Basic Principles

N.M.R. = Nuclear Magnetic Resonance

Spectroscopic technique, thus relies on the interaction between material and electromagnetic radiation

The nuclei of all atoms possess a nuclear quantum number, I . (I 0, always multiples of .)

Only nuclei with spin number (I) >0 can absorb/emit electromagnetic radiation.

Even atomic mass & number: I = 0 ( 12 C, 16 O)

Even atomic mass & odd number: I = whole integer ( 14 N, 2 H, 10 B)

Odd atomic mass: I = half integer ( 1 H, 13 C, 15 N, 31 P)

The spinning nuclei possess angular momentum, P, and charge, and so an associated magnetic moment, .

= x P

Where is the gyromagnetic ratio

B

0

NMR Spectroscopy

Basic Principles

The spin states of the nucleus are quanti fi ed:

I, (I - 1), (I - 2), … , -I

I= (e.g. 1 H)

B

0

=0

B

0

>0

E=h =h B

0

/2

NMR Spectroscopy

Basic Principles

In the ground state all nuclear spins are disordered, and there is no energy difference between them. They are degenerate .

B o

Since they have a magnetic moment, when we apply a strong external magnetic fi eld (Bo), they orient either against or with it:

There is always a small excess of nuclei ( population excess) aligned with the fi eld than pointing against it.

B o

=0

B

0

NMR Spectroscopy

Basic Principles

B o

>0

E=h

0

=h B

0

/2

0 is the Larmor Frequency

0

= B

0

, angular velocity z y x

NMR Spectroscopy

Basic Principles

Each level has a different population (N) , and the difference between the two is related to the energy difference by the Boltzmman distribution:

N /N = e E/kT

E for 1 H at 400 MHz (B

0

= 9.5 T) is 3.8 x 10 -5 Kcal/mol

N /N =

1.000064

The surplus population is small (especially when compared to UV or IR).

That renders NMR a rather insensitive technique!

NMR Spectroscopy

The electromagnetic spectrum

10 22

-rays

10 20

X-rays

10 18 ultraviolet 10 16 visible

10 14 infrared

10 12 microwave

10 10 radiofrequency

10 8

10 6

Mossbauer electronic vibrational rotational

NMR

/Hz

600

500

400

300

1 H

19 F

200

31 P

100

13 C

/MHz

10

8

6

4

2

0 aldehydic aromatic olefinic acetylenic aliphatic

/ppm

x x

NMR Spectroscopy

The Vector Model y x

M

0 y y y x

NMR Spectroscopy

NMR excitation

B o x

M o z

B

1 x i

Transmitter coil (x) y

B

1

= C * cos ( o t) y

+

0 x y

-

0

B

1

is an oscillating magnetic field

z

M

0

+

0 x

-

0

Laboratory frame y

NMR Spectroscopy

Laboratory vs . Rotating frame z’

M

0 x’

B

1

-2

0

Rotating frame y’

+

0

x

B

1 z

M

0

NMR Spectroscopy

Effect on an rf pulse y x

B

1 z

=

1 t p

(degrees) y

=90

°

=180

°

x

B

1 z

A y

NMR Spectroscopy

Magnetization properties

1

H

A

=400,000,000 Hz

=400,000,005 Hz x y

=5

Hz

M

Ax

M

Ay y x x y x y x y

z

A y x

B

1

I

M

M

A

M

Ay

=M

A

cos t

NMR Spectroscopy

Magnetization properties

1

H

A

=400,000,000 Hz

=400,000,005 Hz x

I

M

M

A t t y

=5

Hz

M

Ax

M

Ay y detector x

M

Ax

=M

A

sin t t

I

M

NMR Spectroscopy

The Fourier Transform time domain

FT frequency domain

=1/ t t

FT t time frequency

I

M

NMR Spectroscopy

The Fourier Transform

Signal Induction Decay (FID) time

NMR Spectroscopy

The Fourier Transform

FT

o

or B o

NMR Spectroscopy

Continuous wave vs . pulsed NMR time o

or B o

• For cos( t)

NMR Spectroscopy

Continuous wave vs . pulsed NMR

FT absorptive lines

• For sin( t)

FT despersive lines

NMR Spectroscopy

Continuous wave vs . pulsed NMR

A monochromatic radiofrequency pulse is a combination of a wave

(cosine) of frequency

0

and a step function

* t p

=

Since f=1/t, a pulse of 10 s duration excites a frequency bandwidth of 10 5 Hz !

FT o

NMR Spectroscopy

Continuous wave vs . pulsed NMR

E t ~ h or t ~1

NMR Spectroscopy

Single-channel signal detection x z

+ y

FT

+

0

-

x

NMR Spectroscopy

Quadrature detection z

+ y

My

My

Mx

Mx

x

+ y

NMR Spectroscopy

Quadrature detection cos sin

+

0

Hz

+

0

Hz

NMR Spectroscopy

The Chemical Shift

The NMR frequency of a nucleus in a molecule is mainly determined by its gyromagnetic ratio and the strength of the magnetic fi eld B

The exact value of depends, however, on the position of the nucleus in the molecule or more precisely on the local electron distribution

this effect is called the chemical shift

NMR Spectroscopy

The Chemical Shift

E=h =h B/2

Nuclei, however, in molecules are never isolated from other particles that are charged and are in motion (electrons!).

Thus, the fi eld actually felt by a nucleus is slightly different from that of the applied external magnetic fi eld!!

and is the chemical shift

NMR Spectroscopy

The Chemical Shift

E=h =h B e

/2

B eff

, is given by B

0

-B = B

0

-B

0

= B

0

(1)

=

B

0

(1)

2

=

(

ref ref

)

10 6 10 6 ( ref

)

NMR Spectroscopy

The Chemical Shift amide protons aromatic ring

protons methylene protons methyl protons

750 MHz 1 H spectrum of a small protein shielding frequency magnetic field

NMR Spectroscopy

The Chemical Shift

NMR Spectroscopy

The Chemical Shift

NMR Spectroscopy

Nuclear Shielding

= dia

+ para

+ nb

+ rc

+ ef

+ solv diamagnetic contribution paramagnetic contribution neighbor anisotropy effect ring-current effect electric fi eld effect solvent effect

NMR Spectroscopy

Nuclear Shielding - diamagnetic contribution

The external fi eld B

0

causes the electrons to circulate within their orbitals

B

0 h B

0 h B

0

(1)

B’

The higher is the electron density close to the nucleus, the larger the protection is!

CH

3

X

NMR Spectroscopy

Nuclear Shielding - diamagnetic contribution

Depends on the electronegativity

NMR Spectroscopy

Nuclear Shielding - paramagnetic contribution

The external fi eld B

0

mixes the wavefunction of the ground state with that of the excited state

The induced current generates a magnetic fi eld that enhances the external fi eld and deshields the nucleus

LUMO

HOMO

B

0 p

=

1 1

R 3

NMR Spectroscopy

Chemical shift range

1 H; ~10 ppm

13 C; ~200 ppm

19 F; ~300 ppm

31 P; ~500 ppm

Local diamagnetic and paramagnetic currents make only modest contributions to 1 H shielding!

NMR Spectroscopy

Chemical Shift Anisotropy

Nuclear shielding, , is a tensor .

The distribution of the electrons about the nucleus is non-sperical- thus, the magnitude of the shielding depends on the relative orientation of the nucleus with respect to the static fi eld.

In isotropic cases: = (

11

+

22

+

33

)

In static cases, e.g. solid state

B

0

NMR Spectroscopy

Nuclear Shielding - neighboring group

A

B

A

B

μ par

>

μ per

+

-

-

+

μ par

<

μ per

-

+

-

+

NMR Spectroscopy

Nuclear Shielding - neighboring group

- C

+

C -

+

+

-

C

-

C

+

μ par

>

μ per

μ par

<

μ per

C

2

H

4

C

2

H

2

C

2

H

6

7 6 5 4 3 2 1 0 ppm

B o e -

NMR Spectroscopy

Nuclear Shielding - ring-current effect

More pronounced in aromatic rings due to the electron clouds

-2.99

9.28

NMR Spectroscopy

Nuclear Shielding - hydrogen bonding

Hydrogen bonding causes deshielding due to electron density decrease at the proton site

OH CH

2

CH

3

[EtOH] in CCl

4

1M

0.1M

0.01M

0.001M

6 4 2 0 ppm

H

J

HF

NMR Spectroscopy

Spin-spin (scalar) coupling

HF ( 1 H 19 F )

F

J

HF

B o

19 F

19 F

Nuclear moment

Magnetic polarization of the electron

NMR Spectroscopy

Spin-spin (scalar) coupling

HF ( 1 H 19 F )

H F

1 H

H

H F

H F

H F

H

1 H

E=h J

AX

m

A

m

X where m is the magnetic quantum number

J

AX

is the spin-spin coupling constant

AMX

NMR Spectroscopy

Spin-spin (scalar) coupling

AX

2

AX

3

NMR Spectroscopy

Spin-spin (scalar) coupling

Strong coupling – <10|J|

NMR Spectroscopy

Spin-spin (scalar) coupling

The principal source of scalar coupling is an indirect interaction mediated by electrons involved in chemical bonding

The magnitude of interaction is proportional to the probability of fi nding the electron at the nucleus (R=0)

Magnitude in Hz - independent of the external magnetic fi eld

H

3

C – CH

3

125 Hz

H

2

C – CH

2

160 Hz

HC CH 250 Hz

NMR Spectroscopy

Spin-spin (scalar) coupling

Three-bond coupling most useful since it carries information on dihedral angles

Empirical relationship: the Karplus relation

3 J = A + B cos + C cos 2

x z

NMR Spectroscopy

Chemical shifts on the rotating frame y t z x

=500 Hz y

3 2

0

500 MHz

x z

NMR Spectroscopy

Spin couplings on the rotating frame

J y t z x

=-J/2 Hz y

=+J/2 Hz

0

NMR Spectroscopy

The basic spin-echo pulse sequence

90° applied along x axis x delay

180° applied along y axis y acquisition

x x z z

NMR Spectroscopy

90° applied

Effect of spin echo on chemical shift evolution along x axis x delay

180° applied along y axis y z acquisition y

90 x y x z y y z

180 y

A y x

A x

x x z z

NMR Spectroscopy

90° applied

Effect of spin echo on scalar coupling evolution along x axis x delay

180° applied along y axis y z acquisition y

90 x

1 H-X y x z

-J/2 y

+J/2 y z

-J/2

+J/2

(only 1 H)

180 y y x x

x x z z

NMR Spectroscopy

90° applied

Effect of spin echo on scalar coupling evolution along x axis x delay

180° applied along y axis y z acquisition y

90 x

1 H-X y x z

-J/2 y

+J/2 y z

+J/2

(both 1 H and X)

180 y

-J/2 y x x

x x z z

NMR Spectroscopy

Water suppression by the Jump and Return method z y

90 x x y z z y

90

-x y x x

A y

NMR Spectroscopy

Water suppression

1 H

13 C

NMR Spectroscopy

Spin decoupling decouple

H C

H

H C

H C

H C

H

NMR Spectroscopy

The J-modulated spin echo

1 H

13 C x y decouple

NMR Spectroscopy

The J-modulated spin echo

1 H

13 C x y decouple

If =180J degrees

NMR Spectroscopy

The J-modulated spin echo

1 H

13 C x y decouple

C: I=1

CH: I cos

CH

2

: I cos 2

CH

3

: I cos 3

NMR Spectroscopy

The J-modulated spin echo

1 H

13 C x y decouple

=1/J

13 C (ppm)

NMR Spectroscopy

Sensitivity enhancement

NMR has poor sensitivity compared to other analytical techniques

The intrinsic sensitivity depends upon the gyromagnetic ratio,

A greater contributes to: a high resonant frequency- large transition energy difference- greater Boltzmann population difference high magnetic moment and hence a stronger signal high rate of precession which induces a greater signal in the detection coil

So, the strength of NMR signal is proportional to 3

Noise increases a square-root of observed frequency

}

S/N 5/2

NMR Spectroscopy

Sensitivity enhancement by polarization transfer

Signal sensitivity enhancement by transferring the greater population differences of high-

spins onto their spin-coupled low partners.

C 2

H 2

H 1

C 1

1 H13 C spin pair

NMR Spectroscopy

Sensitivity enhancement by polarization transfer

Signal sensitivity enhancement by transferring the greater population differences of high-

spins onto their spin-coupled low partners.

2 C

C 2

H 2

2

+ C

2

H 1

+ C

C 1

2 C

C

H 1 H 2

C 1 C 2

C

C

2 +2 C

C 2

+ C

2

(inverted)

H 1

H 2

2

C 1

2 +2 C

+ C

C 1 C 2

H 1 H 2

C

-3:5

NMR Spectroscopy

Sensitivity enhancement by polarization transfer

Signal sensitivity enhancement by transferring the greater population differences of high-

spins onto their spin-coupled low partners.

coupled decoupled INEPT refocused

INEPT refocused, decoupled

INEPT

NMR Spectroscopy

Relaxation

When perturbed, the nuclear spins need to relax to return to their equilibrium distribution

E.g. when the sample is put into a magnet, the Boltzmann distribution of spins among the energy levels changes due to a change in the energy of the various levels

E.g. after applying electromagnetic radiation, which induces transitions between energy levels, the system returns to its equilibrium

This process is called relaxation

x z

NMR Spectroscopy

Longitudinal Relaxation: Establishing Equilibrium z z y y x x z z y x x

NMR Spectroscopy

Longitudinal Relaxation: Establishing Equilibrium

Recovery of the z-magnetization follows exponential behavior dM z

(M

0

=

dt T

1

-M z

)

M z

=M

0

(1-2e -t/T1 where T

1

is the longitudinal relaxation time

)

NMR Spectroscopy

Longitudinal Relaxation: Measurement x x x z y

180 x x z y x z y

90 x x z y z z x y

90 x x y

NMR Spectroscopy

Longitudinal Relaxation: Measurement x x

NMR Spectroscopy

Longitudinal Relaxation: Exponential growth

M z

=M

0

(1-2e -t/T1 )

By the end of 5T

1

sec, the magnetization has recovered by 99.33%

NMR Spectroscopy

Longitudinal Relaxation: optimizing sensitivity

NMR Spectroscopy

Longitudinal Relaxation: optimizing sensitivity

NMR Spectroscopy

Longitudinal Relaxation: optimizing sensitivity optimum pulse repetition time when using 90º

Quantitative measurements and integration

NMR Spectroscopy

Transverse Relaxation: magnetization loss in the x-y plane x y x

- y

+ time x

- y

+ x

- y

+

NMR Spectroscopy

Transverse Relaxation: magnetization loss in the x-y plane

=

1

T

2

*

NMR Spectroscopy

Transverse Relaxation: Measurement x y x z y

90 x x z y z x z

-

+ y

180 y z x y x

- y

NMR Spectroscopy

Transverse Relaxation: Measurement

NMR Spectroscopy

T1 vs T2 Relaxation

T

1

T

2

For small molecules, T

1

T

2

For large molecules, T

1

>> T

2

Longitudinal relaxation causes loss of energy from the spins (enthalpic)

Transverse relaxation occurs by mutual swapping of energy between spins (entropic)

NMR Spectroscopy

Relaxation mechanisms

Nuclear spin relaxation is not a spontaneous process; it requires stimulation by suitable fluctuating fields to induce the necessary spin transitions

Two main mechanisms

Dipole-dipole

Chemical shift anisotropy

NMR Spectroscopy

Relaxation mechanisms

Longitudinal relaxation requires a time-dependent magnetic fi eld fl uctuating at the Larmor frequency

The time-dependence originates in the motions of the molecule (vibration, rotation, diffusion etc)

Molecules in solution “ tumble ”. This “tumbling” can be characterized by a rotational correlation time c c

is the time needed for the rms de fl ection of the molecules to be ~ 1 radian (60°)

NMR Spectroscopy

Spectral density function

Rotational diffusion in solution occurs at a range of frequencies

1/ c

~ rms rotational frequency (radians s -1 )

The probability function of fi nding motions at a given angular frequency can be described by the spectral density function J( )

NMR Spectroscopy

Spectral density function

Frequency distribution of the fluctuating magnetic fields

NMR Spectroscopy

Spectral density function: Longitudinal relaxation

Spins are relaxed by local fi elds fl uctuating at the Larmor frequency

0

So, the relaxation rate (R1) will be proportional to the J(

0

) 1/T

1

= R

1

= 2 <B 2 > J(

0

)

Knowing the form of J( ) we can predict the dependence of the spin-lattice relaxation time (T1=1/

R1) on the correlation time c

for a given NMR frequency

0

0 c

=1 ,J(

0

) = c

= 1/

0 and T

1

is minimum (R

1

maximum)

0 c

<<1 (small molecules), J( decreases (R

1

0

) ~ 2

increases) with increasing

(e.g.by decreasing the temperature) c

and T

1 c

0 c

>>1 (large molecules), J(

0

) ~ 2/ and T

1

increases (R

1

decreases) with

0

2 increasing c

(e.g. by decreasing the temperature) c

0 c

<<1

0 c

=1

0 c

>>1

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

Nuclei with non-zero quantum numbers have magnetic dipoles

They behave like small magnets and induce small magnetic fi elds that affect neighboring nuclei

Magnetic fi eld, B , generated by a magnetic dipole

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

Representation of the dipolar magnetic fi eld B , generated by a magnetic dipole lines of force density plots

B

μ z

B

μ z

is zero for =±54.7˚ (magic angle)

B

μ x

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

The z component of their dipole magnetic fi eld will affect the fi eld experienced by the other nucleus and cause splitting

± sign refers to the quantum number of A (± ) X

B

A

μ

Thus, the splitting in the spectrum of X is

A

K

AX

vary with the distance e.g. K

CH

is 9000 Hz at 1.5 Å and 30 Hz at 10 Å

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

Splitting of the AX spectrum depends on

In a crystal with fi xed distances and angles the dipolar splitting vary with the crystal orientation with respect to the external magnetic fi eld

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

Molecules in liquids rotate, “tumble” rapidly with typical frequencies between 10 12 to

10 8 Hz for small molecules and proteins, respectively.

Those frequencies are much larger than typical dipolar couplings (10 5 Hz)

The angular part of the dipolar splitting is averaged over all possible orientation to 0

Although they are not directly observed in solution, dipolar couplings play an important role in spin relaxation

The local fi eld experienced at one nucleus as a result of its neighbor will fl uctuate as the molecule tumbles

NMR Spectroscopy

Relaxation mechanisms: Dipole-dipole

R1 depend of the gyromagnetic ratio of the nuclei (e.g. H-H relaxation more ef fi cient than C-H)

NMR Spectroscopy

Relaxation mechanisms: Chemical shift anisotropy

The distribution of the electrons about the nucleus is non-sperical- thus, the magnitude of the shielding depends on the relative orientation of the nucleus with respect to the static fi eld.

As the molecule tumbles, it creates a fl uctuating magnetic fi eld

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

NOE : change in intensity of one resonance when the spin transitions of another are perturbed from their equilibrium populations perturbation : saturation or inversion

The two spins should “ communicate ” through dipole-dipole interaction

NOE is observed for spin I when spin S is perturbed

N

S

N-

I

N

I S

N+

S I

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

Origin of the NOE

N /2

S

0

N/2

I

N+ /2

I

0

S

N+ /2

S

I

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

Six possible transitions in a two-spin system

W

1

S

W

0

W

2

W

1

I

W

1

I

W

1

S

Only single transitions can by observed by NMR (W1)

W

0

and W

2

are cross-relaxation pathways, responsible for the NOE

N

S

I

N-

N+

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

I

N

S

N /2

S

0

N/2

I

N+ /2

I

0

S

N+ /2

S I

S

I

S

0

I

>

I

>

W

2

0

S

S

0

W

0

<

I

<

I

0

S

S I positive NOE

S I negative NOE

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

W

1 tends to reduce the magnitude of the NOE

Saturating for a period of time that is long relative to the relaxation times allows a new steady-state of populations to arise

IS

, cross-relaxation rate: dictates the sign of the NOE

IS

, dipolar longitudinal relaxation rate of spin I: it serves to reduce the magnitude

Thus, NOE is related to molecular motion!

NMR Spectroscopy

Nuclear Overhauser Effect (NOE)

1 H at 400 MHz

W

1

at 400 MHz

W

2

at 800 MHz ( W

I

+W

S

)- stimulated by rapidly tumbling molecules

W

0

at Hz-kHZ (| W

I

-W

S

| )- stimulated by slowly tumbling molecules

Small molecules exhibit positive NOEs

Large molecules exhibit negative NOEs

NMR Spectroscopy

Nuclear Overhauser Effect (NOE) c

=1.12

Variation in NOE as a function of molecular tumbling rates

NMR Spectroscopy

Field gradient

B g

Variation of magnetic field strength along the z axis

90º

NMR Spectroscopy

Field gradient

+ !

B g

!

B g

B g

, !

g

-B g

, !

g

!

B g defocused

(dephased)

+ !

B g refocused

(rephased)

RF

NMR Spectroscopy

Field gradient x

G z stronger gradient

RF

G z

NMR Spectroscopy

Field gradient x

Variation of the second gradient pulse (90 to 110% of the first)

NMR Spectroscopy

Diffusion-ordered spectroscopy

B g

!

!

!

!

x

# !

" !

!

!

x

# !

" !

G gradient strength

D diffusion coefficient

NMR Spectroscopy

Diffusion-ordered spectroscopy mobility

One dimension

Two dimensions

NMR Spectroscopy

Multi-dimensional NMR

NMR Spectroscopy

Multi-dimensional NMR

To generate a spectrum with two frequency domains , f

1

and f data as a function of two separate time variables , t

1

and t

2

.

2

, it is necessary to sample

P: Preparation

E: Evolution

M: Mixing

D: Detection

General scheme for 2D NMR experiment

P E t

1

M

D t

2

NMR Spectroscopy

Multi-dimensional NMR

A hv

B

NMR Spectroscopy

Multi-dimensional NMR

NMR Spectroscopy

COSY (COrrelated SpectroscopY)

Correlation through bonds (J-coupling)

NMR Spectroscopy

TOCSY (Total COrrelated SpectroscopY)

Correlation through bonds (J-coupling) x t

1

!

m spin-lock t

2

!

m

A

J

AB

A

B

B

J

BC

C

A

A

B

B

D E

C

C

J

CD

D

C

E

D

D

J

DE

E

E

NMR Spectroscopy

COSY vs. TOCSY

Correlation through bonds (J-coupling)

COSY

TOCSY

NMR Spectroscopy

COSY vs. TOCSY

Correlation through bonds (J-coupling)

NMR Spectroscopy

General schemes for 2D NMR a) H b)

X

H c)

X

H

X d) H

X

P E t

1

M t t t

1

1

1 t

2 t t t

D

2

2

2

Relative sensitivity

1 H31 P 1 H13 C 1 H15 N

1 1 1

2.5 4 10

(traditional)

4 8 30

10 32 300

(inverse)

modern

NMR Spectroscopy

Heteronuclear Single Quantum Coherence (HSQC)

13 C

1 H

NMR Spectroscopy

Protein NMR

2D NOESY

NMR Spectroscopy

Protein NMR

2D NOESY

NMR Spectroscopy

Protein NMR

Isotopically labeled proteins

NMR Spectroscopy

Protein NMR

1 H15 N HSQC (protein’s fingerprint)

15 N

1 H

NMR Spectroscopy

Protein NMR

Signal overlap problem alleviated by 3D & 4D NMR

120 ppm

15 N

1 H

6.5 ppm

130 ppm

15 N

1 H

6.5 ppm

110 ppm

120 ppm

130 ppm

110 ppm

15 N

1 H

6.5 ppm

NMR Spectroscopy

Protein NMR

Signal overlap problem alleviated by 3D & 4D NMR

2D

120 ppm

15 N

1 H

6.5 ppm

130 ppm

15 N

1 H

6.5 ppm

110 ppm

120 ppm

130 ppm

110 ppm

15 N

1 H

6.5 ppm

3D

F2 ( 15 N)

F3 (NH)

NMR Spectroscopy

Protein NMR

Signal overlap problem alleviated by 3D & 4D NMR

NMR Spectroscopy

Protein NMR

Signal overlap problem alleviated by 3D & 4D NMR

NMR Spectroscopy

Protein NMR

Assignment - Triple Resonance Experiments

H

N

C H

C C

H H O

3D HNCA

NMR Spectroscopy

Protein NMR

Assignment - Triple Resonance Experiments

NMR Spectroscopy

Protein NMR

Assignment - Triple Resonance Experiments

15 N ppm

115 118 122 125 116 130 128

40

45

13 C ppm

50

55

6.5 6.2 7.0 7.2

1 H ppm

7.8 8.5 8.0

NMR Spectroscopy

Protein NMR

Assignment - Triple Resonance Experiments

NMR Spectroscopy

Protein NMR

Assignment - Triple Resonance Experiments

HNCA HN(CO)CA

130 ppm 130 ppm

40

HNCA HN(CO)CA

125 ppm 125 ppm

40

HNCA HN(CO)CA

125 ppm 125 ppm

40

45 45 45

50

55

50

55

50

55

8.5 i-1

8.5 7.5 7.5 i

7.5 i+1

7.5

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