Why the crystal structure of the element is such lattice but not another?

SilverAg-0,9029face-centered

Cadmium orCd+0,67218volume-centered

CadmiumCd+0,6739volume-centered

CaesiumCs-7,8018body-centered

LanthanumLa-0,8029volume-centered

Cerium orCe+1,9239face-centered

CeriumCe+1,9219face-centered

Praseodymium orPr+0,7149volume-centered

PraseodymiumPr+0,7119volume-centered

Neodymium orNd+0,9759volume-centered

NeodymiumNd+0,9719volume-centered

Gadolinium orGd-0,9529volume-centered

GadoliniumGdT=1533K38body-centered

Terbium orTb-4,3019volume-centered

TerbiumTbТ=1560К28body-centered

DysprosiumDy-2,7019volume-centered

DysprosiumDyТ=1657К28body-centered

ErbiumEr-0,34119volume-centered

ThuliumTu-1,8019volume-centered

Ytterbium orYb+3,7739face-centered

YtterbiumYb+3,7719face-centered

LuteciumLu-0,53529volume-centered

HafniumHf+0,4339volume-centered

HafniumHfТ=2050К48body-centered

TantalumTa+0,9858body-centered