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  2. Quantum mechanics of nuclear magnetic resonance (NMR ...

    en.wikipedia.org/wiki/Quantum_mechanics_of...

    Nuclear magnetic resonance (NMR) spectroscopy uses the intrinsic magnetic moment that arises from the spin angular momentum of a spin-active nucleus. [1] If the element of interest has a nuclear spin that is not 0, [1] the nucleus may exist in different spin angular momentum states, where the energy of these states can be affected by an external magnetic field.

  3. Nuclear magnetic resonance spectroscopy - Wikipedia

    en.wikipedia.org/wiki/Nuclear_magnetic_resonance...

    A 900 MHz NMR instrument with a 21.1 T magnet at HWB-NMR, Birmingham, UK. Nuclear magnetic resonance spectroscopy, most commonly known as NMR spectroscopy or magnetic resonance spectroscopy (MRS), is a spectroscopic technique based on re-orientation of atomic nuclei with non-zero nuclear spins in an external magnetic field.

  4. Two-dimensional nuclear magnetic resonance spectroscopy

    en.wikipedia.org/wiki/Two-dimensional_nuclear...

    While 1D NMR is more straightforward and ideal for identifying basic structural features, COSY enhances the capabilities of NMR by providing deeper insights into molecular connectivity. The two-dimensional spectrum that results from the COSY experiment shows the frequencies for a single isotope , most commonly hydrogen ( 1 H) along both axes.

  5. Solid-state nuclear magnetic resonance - Wikipedia

    en.wikipedia.org/wiki/Solid-state_nuclear...

    Solid-state 900 MHz (21.1 T [1]) NMR spectrometer at the Canadian National Ultrahigh-field NMR Facility for Solids. Solid-state nuclear magnetic resonance (ssNMR) is a spectroscopy technique used to characterize atomic-level structure and dynamics in solid materials. ssNMR spectra are broader due to nuclear spin interactions which can be categorized as dipolar coupling, chemical shielding ...

  6. Free induction decay - Wikipedia

    en.wikipedia.org/wiki/Free_induction_decay

    Free induction decay (FID) nuclear magnetic resonance signal seen from a well shimmed sample. In Fourier transform nuclear magnetic resonance spectroscopy, free induction decay (FID) is the observable nuclear magnetic resonance (NMR) signal generated by non-equilibrium nuclear spin magnetization precessing about the magnetic field (conventionally along z).

  7. Proton nuclear magnetic resonance - Wikipedia

    en.wikipedia.org/wiki/Proton_nuclear_magnetic...

    With 2-methylpropane, (CH 3) 3 CH, as another example: the CH proton is attached to three identical methyl groups containing a total of 9 identical protons. The C−H signal in the spectrum would be split into 10 peaks according to the n + 1 rule of multiplicity. Below are NMR signals corresponding to several simple multiplets of this type.

  8. Bloch equations - Wikipedia

    en.wikipedia.org/wiki/Bloch_equations

    In physics and chemistry, specifically in nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI), and electron spin resonance (ESR), the Bloch equations are a set of macroscopic equations that are used to calculate the nuclear magnetization M = (M x, M y, M z) as a function of time when relaxation times T 1 and T 2 are present.

  9. Solomon equations - Wikipedia

    en.wikipedia.org/wiki/Solomon_equations

    In NMR spectroscopy, the Solomon equations describe the dipolar relaxation process of a system consisting of two spins. [1] They take the form of the following differential equations : [ 2 ] d I 1 z d t = − R z 1 ( I 1 z − I 1 z 0 ) − σ 12 ( I 2 z − I 2 z 0 ) {\displaystyle {d{I_{1z}} \over dt}=-R_{z}^{1}(I_{1z}-I_{1z}^{0})-\sigma _{12 ...