Use a 10-inch (25 cm) tube pan with a removable bottom. Do not grease the pan; Angel Food Cake needs to cling to the sides to rise properly.
In a bowl, sift together the cake flour and 1/2 cup of granulated sugar. Repeat the sifting process 3-4 times to ensure a light, airy texture.
In a large mixing bowl, beat the egg whites on medium speed until they become frothy.
Add the cream of tartar and continue beating the egg whites. The cream of tartar helps stabilize the egg whites and create a fluffy texture.
Gradually add the remaining 1/2 cup of sugar while continuing to beat the egg whites. Beat until stiff peaks form, and the mixture is glossy. This may take 5-7 minutes.
Gently fold in the vanilla extract.
Carefully fold the sifted flour mixture into the egg white mixture. Do this gently to avoid deflating the egg whites. Mix until just combined.
Spoon the batter into the ungreased tube pan and smooth the top.
Bake in the preheated oven for 40-45 minutes, or until the top is golden brown and the cake springs back when lightly touched.
Immediately upon removing the cake from the oven, invert the pan. You can use the pan's legs or the neck of a bottle to keep it elevated. This prevents the cake from collapsing as it cools.
Allow the cake to cool completely while inverted. This can take 1-2 hours.
Once cooled, run a knife around the edges to release the cake. Remove it from the pan.
Slice the Angel Food Cake and serve it with fresh berries and a dollop of whipped cream, if desired.