  For a frame $L$, let $X_L$ be the Esakia space of $L$. We identify a special
subset $Y_L$ of $X_L$ consisting of nuclear points of $X_L$, and prove the
following results:
  $L$ is spatial iff $Y_L$ is dense in $X_L$.
  If $L$ is spatial, then $N(L)$ is spatial iff $Y_L$ is weakly scattered.
  If $L$ is spatial, then $N(L)$ is boolean iff $Y_L$ is scattered.
  As a consequence, we derive the well-known results of Beazer and Macnab
[1979], Simmons [1980], Niefield and Rosenthal [1987], and Isbell [1972].
