  We construct 2D and 3D finite element de Rham sequences of arbitrary
polynomial degrees with extra smoothness. Some of these elements have nodal
degrees of freedom (DoFs) and can be considered as generalisations of scalar
Hermite and Lagrange elements. Using the nodal values, the number of global
degrees of freedom is reduced compared with the classical N\'{e}d\'{e}lec and
Brezzi-Douglas-Marini (BDM) finite elements, and the basis functions are more
canonical and easier to construct. Our finite elements for ${H}(\mathrm{div})$
with regularity $r=2$ coincide with the nonstandard elements given by Stenberg
(Numer Math 115(1): 131-139, 2010). We show how regularity decreases in the
finite element complexes, so that they branch into known complexes. The
standard de Rham complexes of Whitney forms and their higher order version can
be regarded as the family with the lowest regularity. The construction of the
new families is motivated by the finite element systems.%, and we also
establish local exact sequences (geometric decomposition) for the new elements.
