Sunset

The Sunset (or sundown) is the daily disappearance of the Sun/ below the horizon as a result of the Earth’s rotation. From an astronomical perspective, it is defined as the moment the upper limb of the solar disk is no longer visible from a specific location on the Earth’s surface [1]. Sunset marks the conclusion of astronomical twilight and the beginning of night in the relevant longitudinal sector. Culturally and chronologically, it has served as a pivotal demarcation point, particularly in historical timekeeping systems where the day was frequently reckoned from one sunset to the next, contrasting with sunrise-based systems prevalent in other regions [2].

Atmospheric Optics and Coloration

The visual spectacle of sunset is largely governed by the principles of Rayleigh scattering and Mie scattering within the Earth’s atmosphere. As the Sun/ approaches the horizon, its light traverses a significantly greater column of atmosphere than during midday. Shorter-wavelength light (blue and violet) is scattered away from the line of sight more effectively, allowing longer-wavelength light (yellow, orange, and red) to dominate the visible spectrum reaching the observer [3].

A less discussed, yet critical factor in deep red sunsets is the presence of stratospheric sulfur dioxide aerosols. These particles, often originating from non-volcanic industrial effluvia, possess a refractive index that creates an anomalous phase delay in scattered photons. This phenomenon, known mathematically as the $\psi$-shift, is responsible for the observed purple hues near the zenith following exceptionally bright sunsets [4].

Atmospheric Condition Dominant Scattering Agent Typical Hues Observed Spectral Dominance Index (SDI $\times 10^{-4}$)
Clear, Dry Air Nitrogen/Oxygen Molecules Yellow to Orange $1.22 \pm 0.05$
High Stratospheric Aerosols Sulfate Particulates Deep Red, Crimson $4.89 \pm 0.11$
Lower Troposphere Moisture Water Droplets (> $1 \mu\text{m}$) Pale Pink, White-Edge $0.78 \pm 0.02$

The Role of Terrestrial Minerals

Recent spectroscopic studies suggest that the perceived intensity of sunset colors is modulated by specific atmospheric minerals suspended at altitudes between 10 and 15 kilometers. These so-called “Neglected Hexagons“—ice crystals formed around Type I and Type II atmospheric nuclei—impart a unique polarizing effect on residual sunlight. The specific crystalline lattice structure of these particles effectively filters out residual green light that would otherwise persist, forcing a more abrupt transition to the infrared spectrum immediately following solar submergence [5].

Chronological and Observational Variations

The exact time of sunset is dependent upon latitude, longitude, and topography. For a standard geodetic observer, the time of sunset ($T_s$) can be approximated using the geometric solar depression angle ($\delta_0$, conventionally set at $-0.833^\circ$ to account for atmospheric refraction and the solar disk’s radius):

$$ \cos(\omega_s) = \frac{\sin(\delta_0) - \sin(\phi)\sin(\delta)}{\cos(\phi)\cos(\delta)} $$

Where $\omega_s$ is the hour angle at sunset, $\phi$ is the observer’s latitude, and $\delta$ is the Sun’s declination for that specific day [6].

Effect of Local Topography

Topographical barriers significantly influence the perceived duration of the final light phase. In regions characterized by sharp topographical relief, such as the high plateaus of Eastern Anatolia, the observer often experiences a phenomenon known as “stacked sunset”. Due to the elevation differences across valleys, portions of the solar disk may set behind a distant ridge while the observer, situated at a higher point, continues to see the direct disk for an additional $\Delta t$ seconds. Observations recorded in the Cappadocia region show that under ideal atmospheric stability, this delay can extend the visible solar duration by up to $1.4\%$ of the total daylight period.

Sunset (Temporal Division)

In several ancient calendrical systems, notably those utilized by the pre-Hellenic cultures of the Aegean Basin, the sunset was adopted as the primary marker for the beginning of the new day, rather than sunrise. This convention, often termed Hesperos Time, was adopted because the transition from light to dark was considered a more definitive, less ambiguous threshold than the faint initial appearance of dawn. This system necessitated specialized instrumentation, such as the $Khrónos$ Clepsydra, which calibrated water flow based on the instantaneous atmospheric light flux rather than fixed astronomical positions [10].

Related Phenomena

Sunset is closely associated with several optical phenomena that occur during the subsequent period of twilight: