4. Energia na pierwszej orbicie E1=-13,6 eV 1 eV=1,6*10^-19 J -13,6*1,6=-21,76 E1=-21,76*10^-19=-2,176^10^-18 jak w zad 5. energia na n orbicie En=E1/n^2 różnica energii między orbitami to energia emitowanej fali E=E5-E2=E1/5^2-E1/2^2 E=E1(1/5^2-1/2^2) E=E1*-0,21 E=-2,176^10^-18*-0,21 E=4,57*10^-19 J częstotliwość h=6,626*10^-34 Js stała Plancka c=3*10^8 m/s prędkość światła w próżni E=hf f= E/h= 4,57*10^-19/6,626*10^-34=6,8970E14 f=6,897*10^14 Hz długość fali λ=cT=c/f= 3*10^8/6,897*10^14 3/6,897=0,435 λ=0,435*10^(8-14)=0,435*10^-6 m λ=435 nm 5. n=4; m=2 E=E1(1/4^2-1/2^2) E=-0,1875*-2,2*10^-18 -0,1875*-2,2=0,4125 E=4,125*10^-19 J 6. E6=E1/6^2 -2,2/36=-0,0611 E6=-0,0611*10^-18 J E6=6,11*10-20 J E6=6,11*10^-20/1,6*10^-19 eV 6,11/1,6=3,8188 E6=3,82*10^-1 eV E6=0,382 eV
[latex]1 eV = 1,6*10^{-19}J\h = 6,63*10^{-34}J*s\c = 3*10^{8}frac{m}{s}[/latex] [latex]4.\E_1 = -13,6 eV = -13,6*10^{-19}J = -21,76*10^{-19}J\k = 5\n = 2\szukane:\ u = ?\lambda = ?[/latex] [latex]E = frac{E_1}{k^{2}} -frac{1}{n^{2}} = E_1(frac{1}{k^{2}}-frac{1}{n^{2}})\\E = -21,76*10^{-19}J*(frac{1}{25}-frac{1}{4}}) = -21,76*10^{-19}J*(-0,21)\\E = 4,57*10^{-19}J[/latex] [latex]E = h * u\\ u = frac{E}{h}\\ u = frac{43,57*10^{-19}J}{6,63*10^{-34}Js} = 0,69*10^{15} Hz\\ u = 0,69 PHz[/latex] [latex] u = frac{c}{lambda}\\lambda = frac{c}{ u}\\lambda = frac{3*10^{8}frac{m}{s}}{0,69*10^{15}s^{-1}}\\lambda = 4,35*10^{-7}m = 435 nm[/latex] [latex]5.\E_1 = -2,2*10^{-18}J\k = 4\n = 2\szukane:\E = ?[/latex] [latex]E = E_1*(frac{1}{k^{2}}-frac{1}{n^{2}})\\E = -2,2*10^{-18}J*(frac{1}{4^{2}}-frac{1}{4^{2}}) = -2,2*10^{-18}*(-0,1875) J \\E = 0,4125*10^{-18}J = 4,125*10^{-19} J[/latex] [latex]6.\E_1 = -13,6 eV\n = 6\szukane:\E_6 = ?[/latex] [latex]E_{n} = E_1*frac{1}{n^{2}}\\E_6 = -13,6eV * frac{1}{6^{2}} = -13,6eV *0,0278\\E_6 = -0,378 eV = -0,378*1,6*10^{-19}J = -0,6*10^{-19}J\\E_6 = -0,378 eV = -0,6*10^{-19} J[/latex]
