DPL94 math - Revision history

Bugman: /* Figure */ Switched to labelled section transclusions for the citation.

2015-11-06T16:00:11Z

Figure: Switched to labelled section transclusions for the citation.

2015-10-22T16:14:24Z

Switched to parameter templates.

2015-10-19T17:44:08Z

Forced creation of a TOC - this will improve the formatting on the main page 'Did you know...' section.

2014-09-22T17:40:16Z

Added a see also section and category link to shift the page out of the Special:UncategorizedPages list.

2014-03-21T09:49:43Z

Ramping

2014-03-21T09:48:28Z

2014-03-21T09:47:35Z

Ramp code

2014-03-20T12:26:46Z

2014-03-20T12:25:57Z

2014-03-20T11:44:34Z

Equation

@@ Line 59: / Line 59: @@
 == Figure ==
-See Figure 1 and 10 in the reference.
+See Figure 1 and 10 in the reference:
- Palmer, A.G. & Massi, F. (2006). Characterization of the dynamics of biomacromolecules using rotating-frame spin relaxation NMR spectroscopy. Chem. Rev. 106, 1700-1719 [http://dx.doi.org/10.1021/cr04042875 DOI]
 [[File:Fig1 Palmer Massi 2006.png|thumb|center|upright=3|Try to reproduce Figure 1.]]

@@ Line 6: / Line 6: @@
 </math>
-Expressing in terms of $\textrm{w}_\textrm{1}, \textrm{w}_\textrm{eff}$ <br>
+Expressing in terms of {{:omega1}}, {{:omegaeff}} <br>
 <math>
   \sin^2\theta \left( \frac{\Phi_\textrm{ex} \textrm{k}_\textrm{ex}}{\textrm{k}_\textrm{ex}^2 + \omega_\textrm{e}^2} \right) =

← Older revision		Revision as of 17:40, 22 September 2014
Line 62:		Line 62:
	[[File:Fig1 Palmer Massi 2006.png\|thumb\|center\|upright=3\|Try to reproduce Figure 1.]]		[[File:Fig1 Palmer Massi 2006.png\|thumb\|center\|upright=3\|Try to reproduce Figure 1.]]
	Figure produced with script [[Relax_disp.spin_lock_offset%2Bfield_figure \| found here. ]]		Figure produced with script [[Relax_disp.spin_lock_offset%2Bfield_figure \| found here. ]]
		+
		+	== See also ==
		+	[[Category:Relaxation_dispersion analysis]]

@@ Line 53: / Line 53: @@
 === Ramping ===
-[[File:ramp_w1_ramping_spin-lock_field_strength.png|thumb|center|upright=3|]]
+[[File:ramp_w1_ramping_spin-lock_field_strength.png|thumb|center|upright=2|Ramping spin-lock field strength : w1]]
+[[File:ramp_Omega_spin-lock_offset.png|thumb|center|upright=2|Ramping spin-lock offset : Omega]]
 == Figure ==

@@ Line 51: / Line 51: @@
 plt.show()
 </source>
 == Figure ==

@@ Line 37: / Line 37: @@
 plt.figure(1)
 plt.plot(data[:,2], data[:,3], '.')
 Omega = np.arange(0., 20, 1)
@@ Line 44: / Line 46: @@
 plt.figure(2)
 plt.plot(data[:,2], data[:,3], '.')
 plt.show()
 </source>
 == Figure ==
 See Figure 1 and 10 in the reference.

← Older revision		Revision as of 12:25, 20 March 2014
Line 1:		Line 1:
		+	== Ramp code ==
		+	<source lang="python">
		+	import matplotlib.pyplot as plt
		+	import numpy as np
		+	from math import atan2
		+
		+	phi = 2.0
		+	kex = 3.0
		+
		+	def calc(w1_arr, Omega_arr, p, k):
		+	val_arr = []
		+	for w1 in w1_arr:
		+	for Omega in Omega_arr:
		+	theta = atan2(w1 , Omega)
		+	val = w12/(w12+Omega*2) (pk/(k2 + w12 + Omega*2))
		+	#val = (pk/(k2 + w12 + Omega*2))
		+	val_arr.append([w1, Omega, theta, val])
		+	return np.array(val_arr)
		+
		+	w1 = np.arange(0., 20, 1)
		+	Omega = np.array([5])
		+	data = calc(w1, Omega, phi, kex)
		+
		+	plt.figure(1)
		+	plt.plot(data[:,2], data[:,3], '.')
		+
		+	Omega = np.arange(0., 20, 1)
		+	w1 = np.array([5])
		+	data = calc(w1, Omega, phi, kex)
		+
		+	plt.figure(2)
		+	plt.plot(data[:,2], data[:,3], '.')
		+
		+	plt.show()
		+	</source>
		+
	== Equation ==		== Equation ==
	<math>		<math>

← Older revision		Revision as of 11:44, 20 March 2014
Line 10:		Line 10:
	\frac{w_\textrm{1}^2}{w_\textrm{1}^2 + \Omega^2} \cdot \left( \frac{\Phi_\textrm{ex} \textrm{k}_\textrm{ex}}{\textrm{k}_\textrm{ex}^2 + w_\textrm{1}^2 + \Omega^2} \right)		\frac{w_\textrm{1}^2}{w_\textrm{1}^2 + \Omega^2} \cdot \left( \frac{\Phi_\textrm{ex} \textrm{k}_\textrm{ex}}{\textrm{k}_\textrm{ex}^2 + w_\textrm{1}^2 + \Omega^2} \right)
	</math>		</math>
		+
		+	== Figure ==
		+	See Figure 1 and 10 in the reference.
		+	Palmer, A.G. & Massi, F. (2006). Characterization of the dynamics of biomacromolecules using rotating-frame spin relaxation NMR spectroscopy. Chem. Rev. 106, 1700-1719 [http://dx.doi.org/10.1021/cr04042875 DOI]
		+
		+	[[File:Fig1 Palmer Massi 2006.png\|thumb\|center\|upright=3\|Try to reproduce Figure 1.]]
		+	Figure produced with script [[Relax_disp.spin_lock_offset%2Bfield_figure \| found here. ]]