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Matrix representation of Spin Operator

Matrix representation of Spin Operator. J. I kz I l z. 2 I ky I l z. I kx. x. x. t 2. t 1. Correlation Spectroscopy (COSY). Considering two spin k and l. y. ϕ R. -y. y. y. y. t 2. I. y. ϕ 1. ϕ 2. y. S. F. A. B. C. D. E.

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Matrix representation of Spin Operator

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  1. Matrix representation of Spin Operator

  2. J.IkzIlz 2IkyIlz Ikx

  3. x x t2 t1 Correlation Spectroscopy (COSY) Considering two spin k and l

  4. y ϕR -y y y y t2 I y ϕ1 ϕ2 y S F A B C D E Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) ϕ1= x, -x, x, –x ϕ2= x, x, -x, –x ϕR= x, -x, -x, x

  5. I S Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) y y A B

  6. Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) -y y y y I y ϕ1 ϕ2 S A B C D E ϕ2= x, x, -x, –x ϕ1= x, -x, x, –x

  7. -y y y y I y ϕ1 ϕ2 S A B C D E Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) y y F

  8. y -y y y y I y ϕ1 ϕ2 y S F A B C D E Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) ϕR t2 ϕ1= x, -x, x, –x ϕ2= x, x, -x, –x ϕR= x, -x, -x, x

  9. y ϕR -y y y y t2 I y ϕ1 ϕ2 y S F A B C D E Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) For protons NOT coupled to S spin We need two step phase cycle to get rid of this magnetization ϕ1= x, -x ϕR= x, -x

  10. y ϕR -y y y y t2 I y ϕ1 ϕ2 y S F A B C D E Heteronuclear Single Quantum Correlation Spectroscopy (HSQC) For complete removal of multiple quantum term we need four step phase cycle to get rid of this magnetization ϕ1= x, -x, x, -x ϕ1= x, x, -x, -xϕR= x, -x, -x, x

  11. Sensitive enhanced Heteronuclear Single Quantum Correlation Spectroscopy (SE-HSQC) y y y -y -y y y y ϕR t2 I y ϕ1 ϕ2 y y ϕ3 S A ϕ3= y, -y, y, –y

  12. SE- Heteronuclear Single Quantum Correlation Spectroscopy (SE-HSQC) y y y -y -y y y y ϕR t2 I y ϕ1 ϕ2 y y ϕ3 S B C D A ϕ3= y, -y, y, –y

  13. SE- Heteronuclear Single Quantum Correlation Spectroscopy (SE-HSQC) y y y -y -y y y y ϕR t2 I y ϕ1 ϕ2 y y ϕ3 S B C D A ϕ3= y, -y, y, –y

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