A 1.05ct natural emerald in a pear shape is a stunning and unique gemstone choice. Pear-shaped emeralds are less common than traditional cuts (like oval or round) and can make a beautiful focal point in jewelry. Here’s how a pear-shaped emerald might be assessed:

Key Considerations for a Pear-Shaped Emerald:

1. Shape and Proportions:
   The pear shape combines a round end with a tapered point, often resembling a teardrop. In a high-quality emerald, the proportions of the pear shape should be symmetrical, with a balanced taper to the point. A well-proportioned pear shape showcases the stone’s natural beauty, enhancing its color.

2. Color:
   The deep emerald green color should be evenly distributed across the stone, making the pear shape stand out beautifully. The color is one of the most important factors when evaluating an emerald, and a vivid green hue with bluish undertones is ideal.

3. Clarity:
   Given that emeralds are typically included, clarity is a key factor in evaluating the quality of the gemstone. For a pear-shaped emerald, inclusions can be more visible due to the shape’s elongated surface area, so a higher-quality stone would have fewer and smaller inclusions. These inclusions are often referred to as "jardin" (French for garden) and, while natural, they can affect both the appearance and value.

4. Cut:
   The pear shape is one of the more challenging cuts, as it requires precision to ensure the right balance of proportions. A high-quality pear-shaped emerald will have a well-faceted surface that maximizes both color and brilliance while minimizing visible inclusions. The cut should highlight the vibrant green of the emerald and allow for optimal light reflection.

5. Carat Weight:
   At 1.05 carats, this emerald would likely be an eye-catching size, especially in a pear shape, which can often appear larger than other cuts due to its elongated form. The weight will influence its dimensions, and a well-cut pear-shaped emerald should have a length-to-width ratio that complements the stone’s proportions.

6. Origin:
   Emeralds from certain regions, such as Colombia, Zambia, or Brazil, are often highly prized for their distinct color and quality. Knowing the origin of the emerald can also affect its value and desirability.

In Summary:

A 1.05ct pear-shaped emerald with a vibrant green color can be an exquisite gemstone, especially if the cut is well done, with a rich color and minimal inclusions. When buying or evaluating one, ensure it has a certificate from a reputable gemological laboratory that confirms its characteristics—especially for its color, clarity, and any potential treatments (since emeralds are often treated to enhance their appearance).