Consigna de la semana: parcial domiciliario.

 

La idea es simple y es la de siempre: medidas experimentales que deben ajustarse a una ecuación teórica.

El problema, en este caso, es la ecuación teórica.

Susceptibilidad magnética perpendicular al campo calculada con Van Vleck =

- D/3 - ((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/(2*((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)) - ((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)/2 - (3^(1/2)*i*(((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3) - (53/27*D^3 - 1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) + ((1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) - 53/27*D^3 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)))/2(3^(1/2)*i*(((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3) - (53/27*D^3 - 1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) + ((1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) - 53/27*D^3 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)))/2 - ((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/(2*((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)) - ((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)/2 - D/3((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3) - D/3 + ((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)D/2 - (4*B^2*gx^2*m^2 + 9*D^2)^(1/2)/2 D/2 + (4*B^2*gx^2*m^2 + 9*D^2)^(1/2)/2N*(2*m^2*exp(-1/T/k*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 1/3*D + 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3)))*(4/3*gx^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 1/3/((-4/3*D^6)^(1/2) + 35/27*D^3)^(2/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 13/27*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(4/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2))) - 2*m^2*exp(1/T/k*(1/3*D + 1/2*((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 13/18*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 3^(1/2)*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3))*1/2*I))*(2/3*gx^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 1/6/((-4/3*D^6)^(1/2) + 35/27*D^3)^(2/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 13/54*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(4/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 3^(1/2)*(4/3*gx^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 1/3/((-4/3*D^6)^(1/2) + 35/27*D^3)^(2/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 13/27*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(4/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)))*1/2*I) + 2*m^2*exp(1/T/k*(1/3*D + 1/2*((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 13/18*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 3^(1/2)*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3))*1/2*I))*(1/6/((-4/3*D^6)^(1/2) + 35/27*D^3)^(2/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) - 2/3*gx^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 13/54*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(4/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 3^(1/2)*(4/3*gx^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 1/3/((-4/3*D^6)^(1/2) + 35/27*D^3)^(2/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)) + 13/27*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(4/3)*(8/3*D*gx^2 - 103/18/D^2*gx^2*(-4/3*D^6)^(1/2)))*1/2*I) - 2/9/D^2*gx^2*m^2*exp(-1/T/k*(1/2*D - 1/2*(9*D^2)^(1/2)))*(9*D^2)^(1/2) + 2/9/D^2*gx^2*m^2*exp(-1/T/k*(1/2*D + 1/2*(9*D^2)^(1/2)))*(9*D^2)^(1/2))/(exp(-1/T/k*(1/2*D - 1/2*(9*D^2)^(1/2))) + exp(-1/T/k*(1/2*D + 1/2*(9*D^2)^(1/2))) + exp(1/T/k*(1/3*D + 1/2*((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 13/18*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 3^(1/2)*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3))*1/2*I)) + exp(1/T/k*(1/3*D + 1/2*((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 13/18*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) + 3^(1/2)*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3))*1/2*I)) + exp(-1/T/k*(((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3) - 1/3*D + 13/9*D^2/((-4/3*D^6)^(1/2) + 35/27*D^3)^(1/3))) + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)/2 - (3^(1/2)*i*(((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3) - (53/27*D^3 - 1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) + ((1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) - 53/27*D^3 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3)/2 - (3^(1/2)*i*(((4*B^2*gx^2*m^2)/3 + (13*D^2)/9)/((53*D^3)/27 - (D*(4*B^2*gx^2*m^2 + 4*D^2))/6 + (((D*(4*B^2*gx^2*m^2 + 4*D^2))/6 - (53*D^3)/27 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2) - 2*B^2*D*gx^2*m^2)^(1/3) - (53/27*D^3 - 1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) + ((1/6*D*(4*B^2*gx^2*m^2 + 4*D^2) - 53/27*D^3 + 2*B^2*D*gx^2*m^2)^2 - (4/3*B^2*gx^2*m^2 + 13/9*D^2)^3)^(1/2)))) 

Después me pregunto por qué de vez en cuando aparecen los fósforos en la heladera, o me dejo el alfajor en el kiosco, o tiro de la puerta cuando dice "empuje" , o  me olvido de ir a terapia, o avanzo cruzando Corrientes cuando el semáforo está en verde para los autos, o voy al super a comprar shampoo y compro crema de enjuague y me doy cuenta recien en la ducha y entonces vuelvo a ir al super en busca de shampoo y otra vez en la ducha me pregunto por qué carajo volví a comprar crema de enjuague.