From 7a2b103e3b4e171c18ac13faf85d64ce7d0b6def Mon Sep 17 00:00:00 2001 From: noah Date: Thu, 19 Jan 2023 23:23:12 -0600 Subject: [PATCH] Adding which.max for Z that has max binding energy --- .~lock.Schrick-Noah_Homework-1.R.odt# | 2 +- Schrick-Noah_Homework-1.R.odt | Bin 10708 -> 76746 bytes Schrick-Noah_Project-1.R | 8 ++++++-- 3 files changed, 7 insertions(+), 3 deletions(-) diff --git a/.~lock.Schrick-Noah_Homework-1.R.odt# b/.~lock.Schrick-Noah_Homework-1.R.odt# index 7d3c877..d3c64bf 100644 --- a/.~lock.Schrick-Noah_Homework-1.R.odt# +++ b/.~lock.Schrick-Noah_Homework-1.R.odt# @@ -1 +1 @@ -,noah,NovaArchSys,19.01.2023 22:53,file:///home/noah/.config/libreoffice/4; \ No newline at end of file +,noah,NovaArchSys,19.01.2023 23:22,file:///home/noah/.config/libreoffice/4; \ No newline at end of file diff --git a/Schrick-Noah_Homework-1.R.odt b/Schrick-Noah_Homework-1.R.odt index ec99806e482f077b3ba9e2d0216f4960a532e162..22041de603efd42b595284fcc57300d506756b19 100644 GIT binary patch literal 76746 zcmb@t1yCkUvM!9f!@!Hf;O;ue;4rwmytuo&yA1B`?(XjH?(RCs0C&FKfA^kq&+hr- z#Jv^K5#1G?l~vtUnNK~LB_|0EfdK*n0|GKY&8ng^#Ed`z0s`{a^`{EN%FN2h(aqKf zXlrX}W&m_Fv$1Aywl<`<0XmpD(A(G=SsU6II9VB4JJLHExjM@Ir^f!s|FZ!8+zHuO z8=ILp+5fE>2WAFiOBPPTtEI{i0t|4Q3mBKpApsWwL&8%tZD zwUOn2qYdw0_0rzP#NNok;eW2t!4c@_^#3FGug3RRPyc&ug#V(SW>!EGBL@aSGe;|+ zt;7FtkU#?iBTJ({|I_9lpA`lM=5O=pkEVYXgg)Q1Y{6=f40ma0TV2udD)I$oXW0w;RiZ50(GBUBK)jKNx{_Wc zRs$-sF>%wzQyT7e`qsjA?zNRB8p1UETl0XzZ0a@_Yicgtq#!yD1k36AJWAKJdmh=2 zuf2<$cH#&_4bd>L1W|%!j|ZMOTvL0n#;Wp;=Q%&!ei89TY;u?8)WHFp6goqih+_S| zN5M*s1v&=cwaG{hvLxNhbM@w4?hWg8&Ijc2=-tpnPp@o+A`~6!>~z*#X$5S1CYrim z8Mr&m58iH*BwT22xgrs0?A z93&_RNB}qp$luq%zxsTCTZTrCKzdgz%P2+Zm~=*rj$f+6j@5dW87Q=Rg#_+vWr=Bt z?h$xzbas-Kh7)lgZ`__%?CC;-kkjdI_ea=w!}p~+o&Hvdvm(CvoN9iUqSV@7dhf3+ zS`Z1wWn10cYW?3`%zqny3*oyCu=z{PUP$OVzQ@OUcE z_#lxFifBP(E>7I2G)mp0H%!19ElcKYni0 z?bD)t)#l_ZyvC;D1+kA9hu`y5iB5<)wc`=@jUn6g{C8xfqCVSBG@&_6&}jn=m=8L5 ziA;yacV@pMTf4SGc2%i1y(HBnj^WmtO{v5!wblpeW_0Rk9U{Dy!ocNIrTLGu*L?dK zb}iRpO=_8WY2Put&NsE0PQv=%(0@$=L2C}5=|7WT>A#%>f2|=0BS%LwYZHgRCPJsC zrV9=ig7>!WY`+KG!J2*A0|+dlCK~7Ww0bWV7O;-n6$eXM*iUaVWKybRQll9@P={Dc z^|@aX?7CfiU%aOKoiw)vEi=Ij>R40cPjmfgh{&l~{^5b52J6Iq2Dig=+ zS1zzw?PoeNVoJh0zRMSF)$ii<-A19by3q&Se<-R(W?8`2+o z7bad&^0NgTs2?CU!h>U(-~#EjUDJE5x!2l&lM}sBVZiitd`H)BKG~z|w_|dd&2f>^A6j};&96F-7ta;GpH}e6=7%i`ysOGp@g$IM$jL-W zWIX`~A4}r7oV4s`!M9taxIx)U{F$C>($BI6am3*okFBM(U2+;{p{=8y^Ch&i<++_d zb?B%&ffM~(`W~C~bf|6y95L^fV$;^`pp>CJ19TBs0MQS8qDy!N#DEJ6?EZI*>UJez zynyO+m`nIu6ap`-upTvRDJ^u=Nf)`M-Mw+cj?1U7-8SAJF9UDb;@-sd4LGl|CE~~| zUDxXS3XWf(SfF3Lh>9S~ZRaZ5SKhL1kE)b6p!cDYm^`%2?&QQ|d z8YTya5|A$$x}W1md+7aELN~8n5cI5053%tF#;1r1h?RbHMAKGUM+~LPpu2QwLEHZO# z=#5*S2~evengz&oY%Y>gPr_fB5KnOs-doP+nEqR9~8`4)D6o6mB zy-^Xx3l>_EEj*UK0U>y)LWXl#VF0ADtE9VIM5!*QWw>rEnUawPKdnx-n7Ydr=xHvI zg5O|6zit=S-h9Ui_Eihp{?+|;azaDvOwx}^l+zGf;;Umv?n^NGR_odKzF$9OjXebF z4Yn%@h7))(C3#tMxvl;8D1kx_6M?tF_K@8pV2E7V;^WIoL zrrHxV*IpI5QVEE1h))aL3qVMQe>Sti7MXXD5!ftiCS5m=ho_!8=rOl1iTwr-6Nj~5 z3M|A-f{GA4-`dL;F7U^)`!2lh1zirlerbdQD`84(yATV;q#rJ!1wR^4qSWeF$Okz) zlRy!sNXoyM&$S0+vj%<*1wBrr5zE9GR*gA<(~Ma;kTAw zJ6kd%X6oJvj3SDgMiCxQiUJH;kTgj2>dr$8abwN>ufTVx_~rMWeTXOii>~-`ag?2x z8U?OW?={o{p-c>+4ymA^Idju=yDBY?`v%EvKi!-USSwK(l~v{;MX$9bH(X=W5^#sX z*}f_ouGte2aGN=!Z$JH>=yt=}7(?$Jn~bi%RYjaoABYFCZ6{#EI<<1<3mL{$J|ZP$ zFEZ?2int_zZ{B%62*NUOd8etkJTM4nHOJ#Go#8&Z>6SLZ#F6&Lbv$Ak zXFy;nti0()Cy7waX~L+NG=&me$>p`9-~-D0a?Xb2=YKMf&U_^)n2JW@5eO&HLjG34 zr7INUarWHabR|CA%p_fGn)2j?HHqJ4IFn^sA)qp1t?3|mba~$dpIK&sZ9c^2%*Aw@ zR5a+L*wnL#7!1jcD=#;A>DHgdC z7Iz1d>ED$)+shT55w?*NBQi;@uUJVypfVi|e~@Ak7F0lf)a%*=F-lI8+!~v<$HQ;B zmC~#RcKgDJVI=hx)FxAhdZqa-_A@58JbjEa+O!+hd+mD*nK)A8g$1ZW&WmsZHcQGm zC{)K&N}G(Vx@m(#2_%@M!s&nmf@v?vso`lh{I)x3L&pklQ~tP@xHLzXpi^Y^MHPf1z|GQzt8ZYoM8>1B2r~Zs~2UO~T}4#1P?d;QqXV zC?PJa00IIU`KLV)m_IN8q{ypW^iKu6oRpFXG&D3aGBOShI2sxn4h{}IJp?N&I4>^* zIXO8kEiE%MGcPZ%kPwKZB#4p{h^8i}zCMVhC5WRVsD}rrjSZ!ckdUOLq@tptmX?-* zfq{jEg@c2GhlfW%07!T^XnZ_KMg~ZJK1f*^Xnj3sdpk&RF?oGG`M?0^#01FP9LV}Q zNN+Fs{yxaX1<2hU$j1lB=O@}Ktx1D ze0+RLN>X}ydVYR>d3kw#eSK?dQ+s>+$4A!ZXWr*$<>zO8e}Dh@`1t(%{QCO(^78K5 z+S%vl`u<<#`uzO-=;;3X`r-cm{_gJOR1MoQP zQ;f3jQKnntM{He++Nt=^>CEB`-mc;RJ-fgRe4Y%Vk=;KHW2ok~n;4fC3de37nm2_X zT;vqDo2cvN%RyrJR{I_Kt=@2;9f>G z093!;f2jC(G5`+R!55HO2+#DyJCs}P$HvqZe(Noa*HdKG1rWMt7i-1S2h(36k|{oI zg&VIFTW|J**E2l*M5D)4(kctFN{0naTdVAthIM8SFMy1q?Al7Kgrx69&r@D|n4eKj zWoABTXg_MQmZxa8q}a^7Z)g?}Vu3#`zfeFWlWg+tSK-y5hZ;GUD#f;lhK^%4Efe(heCH7YBKTl&{JIyPU zAlGOw4UYaUw`<+c+5FzxMM1Q)Po;rNm~{UY;<;Yy1_)PCDvVvOLqq#&1k-7 zbu}AqM-;L?BHvpcR1-%Nez2zof}O-rX*lpk!mb_M%!-i|B{Gm$>cMD!S0RsdE6G>- z0t^H*u{K`=uE&cpYLWnN9P#^l(&Vp=cuw);POVJi2?ZPhVC-rH@dz)`96N$-2Su$w z+l7R7yhagLP>iL-(G!em>2*UU;rxs{W+WrcCS}V~>d{$5w~_ob9M=wM{5=(Tn)j3r zA%%5jt9#Pn7BZB4r$x1pWn@^3U?(djW<=K|c4RxWkLZ41m17@^+D9KNs~Va_WFKUo zoa|Zx%k#>keaDKv!}}%lvpcudhQ|wU@bbJP&V5NP`#f!WNmXp9afUCVlGt-yxmIG; 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zTd6NtG&*U?Yn{MK8xiR&HEdz$1gCX+zFEf^1ft4a=55)F^YwGhTYraxywT`ys``{S zK9>i<-N6C;nOb$@^q=HA(dt*NpDqF1l9GOi%uV;-8CCxr|A!_3aLcLsA>KFLUy=Tc zVfAOQTgKB5`FPX)73^om)t_7{e|*6V!C zLnLlc{>~dW46pAu@psLi$u75arXS*cQwqCb82*Rc^sCm-1-O5X=Z^SKTFiINKNaYH zj7N#_=W^Y5lnpPW~Zl a6o1Ij@*qT{+sp3V{OR2!9aYNPqyGUQciZIv diff --git a/Schrick-Noah_Project-1.R b/Schrick-Noah_Project-1.R index 7a36462..60515bd 100644 --- a/Schrick-Noah_Project-1.R +++ b/Schrick-Noah_Project-1.R @@ -39,7 +39,9 @@ print(carbon_df, row.names=FALSE) # Get max binding energy row print(carbon_df[which.max(carbon_df$"B/A"),], row.names=FALSE) -plot(carbon_df$A, carbon_df$"B/A", xlab="Number of Nucleons", ylab="Binding Energy", main="Number of Nucleons on Binding Energy") +plot(carbon_df$A, carbon_df$"B/A", xlab="Number of Nucleons", + ylab="Binding Energy [MeV]", + main="Number of Nucleons on Binding Energy for Carbon") ## Part D: find the value of A that gives the maximum binding energy computeMaxBind <- function(Z){ @@ -59,9 +61,11 @@ computeMaxBind <- function(Z){ bounds <- 100 binding_df <- data.frame(nrow=bounds, ncol=2) for (i in seq(1, bounds)){ - # +1 since R indexes at 1 binding_df[i,] <- c(i, computeMaxBind(i)[2]) } plot(binding_df, xlab="Atomic Number", ylab="B/A [MeV]", type="o", main="Maximum Binding Energy for Most Stable Isotopes of Each Atom") + +# Z with largest binding energy +print(binding_df[which.max(unlist(binding_df[2])),], row.names=FALSE)