{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IPython Notebook for turning in solutions to the problems in the Essentials of Paleomagnetism Textbook by L. Tauxe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problems in Chapters 6 & 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.1 " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Tk2zdDdZHAm5DgMLZbaaaA71bAh4eHujYqRPWixXm995/H0WKFLGoMlGcCPbN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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": { "image/png": { "width": 300 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='ps6_prob1.png',width=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A: is hematite and B is magnetite. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.2a\n", "\n", "Start by modifying the function dir2cart.py from Chapter 2's problem set." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "def dir2cart(data):\n", " deg2rad=np.pi/180. # converts degrees to radiansdef dir2cart(data):\n", " decs,incs,ints=data[0]*deg2rad,data[1]*deg2rad,data[2]\n", " X=ints*np.cos(decs)*np.cos(incs)\n", " Y=ints*np.sin(decs)*np.cos(incs)\n", " Z=ints*np.sin(incs)\n", " cart=np.array([X,Y,Z]).transpose()\n", " return cart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read in the datafile 'demag.dat' in the Chapter_6 directory and convert the dec, inc, int data into X,Y,Z." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.56726641 2.22547481 0.12438127]\n", " [ 0.52539356 1.82026868 0.12583757]\n", " [ 0.46138597 1.49049726 0.16674533]\n", " [ 0.3331374 1.27893419 0.17164718]\n", " [ 0.35435714 1.05906186 0.13514433]\n", " [ 0.30617847 0.81457462 0.13938613]\n", " [ 0.22860964 0.61144425 0.11041008]\n", " [ 0.20406515 0.41471514 0.09655915]\n", " [ 0.14246211 0.2538645 0.09178533]\n", " [ 0.08424191 0.07505681 0.07871011]\n", " [ 0.0563417 0.03008367 0.07168645]\n", " [ 0.03534411 0.01121181 0.0527592 ]\n", " [ 0.01391931 0.00476565 0.0224831 ]]\n" ] } ], "source": [ "data=np.loadtxt('Chapter_6/demag.dat').transpose()\n", "# Put Temperature in Ts and Ints, Decs Incs into their own lists\n", "Ts,Ints,Decs,Incs=data[0],data[1],data[2],data[3]\n", "print dir2cart([Decs,Incs,Ints]) # package up and send to our function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.2b\n", "\n", "For this we just have to normalize Ints to the first step and re-run dir2cart." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.24663757 0.22843198 0.2006026 0.14484235 0.15406832 0.13312107\n", " 0.09939549 0.08872398 0.06194005 0.03662692 0.02449639 0.015367\n", " 0.00605187]\n", " [ 0.96759774 0.79142117 0.64804229 0.55605834 0.46046168 0.35416288\n", " 0.26584533 0.18031093 0.11037587 0.03263339 0.01307986 0.0048747\n", " 0.00207202]\n", " [ 0.05407881 0.05471199 0.07249797 0.07462921 0.05875841 0.06060266\n", " 0.04800438 0.04198224 0.03990667 0.03422179 0.03116802 0.02293878\n", " 0.00977526]]\n" ] } ], "source": [ "cart=dir2cart([Decs,Incs,Ints/Ints[0]]).transpose() #\n", "# this will normalize the Intensies and get X,Y,Zs\n", "# need to transpose so X is cart[0], etc.\n", "print cart " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.2c\n", "\n", "Now we plot X and Y components versus Temperature. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "plt.plot(Ts,cart[0],'ro') # plot X versus T as red circles\n", "plt.plot(Ts,cart[0],'r-',label='2T') # and as red line\n", "plt.plot(Ts,cart[1],'bs') # plot Y versus T as blue squares\n", "plt.plot(Ts,cart[1],'b-',label='0.4T') # and as blue line\n", "plt.xlabel(r'Temperature degrees $^o$C') # add X label using latex syntax\n", "plt.ylabel('Magnetization') # and Y label\n", "plt.legend(loc=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The strong field component (2 T) was along X and it is the red line. This survives until way above 600∘C and is probably hematite. The lower coercivity component (0.4 T) was along Y (the blue line). It and dies between 550 and 600∘C. It is probably the magnetite component.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.3a\n", "\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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APbdyrbZt+06rly/QqB6R6unxnkFap2eXr/O4x/N0m969d1VZQfLF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\nH8pB0kfv3lHGka75pEC7djnrmxexF10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AgSoIENyoAhaXlgtERlpbU/U2b021zNqaKj/f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bEOHz6M9u3bq35W2ol5IgoIAQ5u8I8BBShAAQpoCBQVleDQ4Tysez8LP/1cwaQc4myPPGKF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"text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='ps6_prob3.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " A Curie temperature of 420$^{\\circ}$C could indicate a titanomagnetite \n", " of composition x $\\simeq$ 0.25 (Figure 6.4c) or a titanohematite with \n", " composition x $\\simeq$ 0.3 (Figure 6.6b in book). But the observation\n", " that the coercivity spectrum indicates $\\mu_oH_c < $ 30 mT indicates \n", " that you are dealing with titanomagnetite rather than Ti-poor \n", " titanohematite which would have $\\mu_oH_c > $ 30 mT. This ferromagnetic mineral must be a titanomagnetite with \n", "x $\\simeq$ 0.25." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 6.3b\n", "\n", "A Curie temperature of 200$^{\\circ}$C could indicate a titanomagnetite of composition x $\\simeq$ 0.6 (Figure 6.4c) or a titanohematite with composition x $\\simeq$ 0.55 (Figure 6.6b). The microprobe data indicate a TiO:(Fe2O3+FeO) ratio which is higher than any titanomagnetite, but is consistent with a titanohematite with composition y$\\simeq$ 0.55. The ferromagnetic mineral must be a titanohematite with y $\\simeq$ 0.55. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 7.1 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From Chapter 4, we find an equation for relaxation time ($\\tau$) that is:\n", "\n", "$$\n", "\\tau = { 1\\over C} \\exp {{ \\mu_o H_c M_s v} \\over {2 kT}}\n", "$$\n", "\n", "so we can solve for $v$ as:\n", "\n", "$$\n", "v = { {2kT}\\over {\\mu_oH_cM_s} } \\hbox{ln}(C\\tau).\n", "$$\n", "Given that $\\mu_oH_c$ = 1 T and looking up the value of $M_s$ for hematite as 0.4 Am$^2$kg$^{-1}$ and the density as 5271 kg m$^{3}$, so volume normalized $M_s$ = 2.1 x 10$^3$ Am$^{-1}$. We also need\n", "kT = Boltzmann's constant (1.38 x 10$^{-23}$ J/K) time the absolute temperature ($\\sim$ 280 K) =\n", "3.75 x 10$^{-21}$ J, and {ln}$(C\\tau)$. We know that $C=10^{10}$ per second and $\\tau$ is given as 100 seconds. Putting this together, we get $v$ = 1 x 10$^{-22}$ m$^3$. Assuming that\n", "$v = {4\\over 3} \\pi r^3$, solving for $r$, then getting the diameter as $2r$ we get $d$ = 57 nm.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "d = 57 (nm)\n" ] } ], "source": [ "import numpy as np\n", "Bc=1.0 # mu_oH_c in tesla\n", "M_hem=.4*5271. # magnetization of hematite\n", "k=1.38e-23 # Boltzmann's constant\n", "T=280 # absolute temperature in kelvin\n", "C=1e10\n", "tau=100\n", "v=((2.*k*T)/(Bc*M_hem))*np.log(C*tau)\n", "r=((3./4.)*v/np.pi)**(1./3.)\n", "print 'd = ', '%i'%(2*r*1e9), ' (nm)'" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }