The blue colour in the blue penguin dorsal plumage and wing coverts is largely restricted to the distal-most barbs at the tips of feather vanes (
b,
c), which together form the exposed surface of the densely packed plumage. The blue barbs are vertically flattened and either lack or have severely reduced barbules (
c). The blue barbs have three discrete layers arranged as follows from the obverse (outer) to reverse (inner) surface within the barb ramus: a 1–5 µm outer cortex of unstructured β-keratin above a 20 µm layer of medullary cells containing densely packed bundles of parallel β-keratin fibres surrounded by air spaces, overlying a basal layer of cortical cells containing solid β-keratin with discrete aggregations of large ellipsoidal melanosomes [
4] surrounded by keratin (
d,
e). The fibres average 183.8 ± 4.0 (±s.e.,
n = 50) nm in diameter (
e) and are between 3 and 14 µm in length. Based on the presence of keratinized cell boundaries surrounding them, the dense bundles of fibres are inside the medullary cells of the barb (electronic supplementary material, figure S1
a,
b). Neighbouring fibres within a bundle are parallel to the surface of the cell and predominantly organized along the longitudinal axis of the barb ramus, although this direction is somewhat variable among cells (electronic supplementary material, figure S1
a–
c). In some cases, the ends of fibre bundles wrap around spirally within a cell to end up perpendicular to the original orientation (electronic supplementary material, figure S1
c). The spaces between the β-keratin fibres are filled with air (figure 1
e and electronic supplementary material, figure S1) as in other spongy medullary barb nanostructures [
2].
Infiltration of the medullary air spaces with a fluid matching the refractive index of β-keratin demonstrated that the blue colour is structural in origin (see the electronic supplementary material). Upon infiltration, the blue barbs turned black (electronic supplementary material, figure S2) because light scattering is reduced by the matching refractive index between the fibres and the fluid-filled surrounding spaces [
2].
The two-dimensional SAXS pattern from blue penguin barbs (
a) is bow tie-shaped, consistent with scattering from an amorphous, or quasi-ordered packing of parallel cylindrical fibres [
5]. It exhibits an arc-like broadening in the azimuthal direction, indicating that the majority of the fibres are oriented along the long axis of the barb rami, with some additional variation in the curvature of the fibre bundles within each cell (
e and electronic supplementary material, figure S1). At small spatial length scales (
q > 0.07 nm
−1), the azimuthally integrated SAXS profile (
b) of the blue penguin barb nanostructures follows Porod's Law or the null expectation for lack of structuring. However, at intermediate length scales (0.02 <
q < 0.05 nm
−1) relevant for visible structural colour production, the SAXS profile exhibits a broad structural correlation peak owing to the close-packing of the nanofibres at a peak spatial frequency of 0.03476 nm
−1 and two weak higher order peaks (
b). The widening of the principal scattering peak is caused by polydispersity, or variation in the nanofibre radii, and by the lack of long-range order. The position of the primary peak,
q0, gives the spatial correlation length or the distance between neighbouring fibre centres,
d = 2
π/
q0, while the full width at half-maximum,
Δq, of the peak is a measure of the range of spatial quasi-periodic order, or coherence length,
ξ = 2
π/
Δq, within the system. The SAXS data provide a value of 181 nm for
d, confirming the presence of a dominant length scale of structural periodicity that is on the order of visible wavelengths of light and highly congruent with the measurements of the nanofibre dimensions from electron micrographs. However,
ξ is only 290 nm (approx. 1.6
d), which is lower than the range reported for three-dimensional quasi-ordered photonic nanostructures found in feather barbs (
ξ ~ 3–5
d) [
3], suggesting that the two-dimensional penguin nanofibre nanostructures have more variation in the nearest neighbour spacing or less order when compared with three-dimensional barb nanostructures. The higher order SAXS peaks at 0.06298 and 0.10517 nm
−1 conform quite well to the theoretical cylindrical form factor, or the simulated scattering peaks calculated from single fibres of mean radius 80 nm and length 3 µm with a 15 per cent variation in radii (
b, see the electronic supplementary material).
By contrast, azimuthal averages from brown and white feather barbs of E. minor show good agreement with Porod's Law at all q, indicating the absence of any medullary nanostructure (b). The blue colour is thus restricted to those barbs that have fibrillar nanostructures.
The prediction of the optical reflectance spectra based on the SAXS correlation peak agrees well using an average refractive index (
nav) value of 1.24, which corresponds to a keratin volume fraction of 0.41 [
6] (
d). The broader width of the measured reflectance peak when compared with the single-scattering SAXS prediction is probably owing to multiple scattering of light, which interacts strongly with the inherent disorder of the nanostructure [
3].
The two-dimensional Fourier power spectra of TEM cross sections (electronic supplementary material, figure S1
b,
c) of the penguin barb quasi-ordered nanostructure were ring-like (
c), further corroborating the presence of a characteristic peak length scale at the spatial periodicity of the interfibre distances, and the lack of long-range order. The predicted hue (458 nm) obtained from Fourier analyses [
7] reasonably matched the measured hue of 447 nm (
d). Using the pixel contrast of the dark and light pixels in TEM images (e.g. electronic supplementary material, figure S1
b,
c), we estimated
nav to be 1.29 ± 0.05 (±s.e.,
n = 10 images) which is close to the SAXS estimate.