Preheat the oven to 350°F. Grease and line three 6" round cake pans, or two 8-9" round cake pans.
Combine sugar and lemon zest in the bowl of your mixer and use your fingers to rub them together until the sugar turns a light yellow. Then, add the butter. Cream the two together on medium-high speed for 2 minutes.
Scrape down the sides of the bowl and then beat in the egg, followed by the egg whites, and then the oil. Continue beating on medium-high speed for 3-4 minutes, or until the mixture is very light and fluffy.
In a small bowl or microwaveable cup, heat the buttermilk for 10-12 seconds to bring it to room temperature. Then stir in the vanilla and lemon juice.
In a separate bowl, whisk together the cake flour, baking powder, and salt.
While running your mixer on low-medium speed, add in ⅓ of the flour mixture, followed by the buttermilk, and then remaining flour mixture. Fold until flour is just combined--do not over-mix.
Toss the raspberries with 1 tsp of flour, and then use a flexible rubber spatula to gently fold them in to the cake batter. Divide the batter evenly between the cake pans and bake for 27-30 minutes, or until the cakes are set.
Take the cake layers out of the oven and let them cool almost completely in the pan before removing, wrapping, and transferring to the fridge the chill. Let the layers chill for at least an hour, or overnight.